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Finding the Fourth Proportional to 82.74, 113.11 and 82.74

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Solution

The fourth proportional to 82.74, 113.11 and 82.74 is: 113.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.74 : 113.11 = 82.74 : x
  2. Step 2: Convert to fraction form
    82.74/113.11 = 82.74/x
  3. Step 3: Cross multiply
    82.74x = 113.11 × 82.74
  4. Step 4: Simplify right side
    82.74x = 9,358.72
  5. Step 5: Solve for x
    x = 9,358.72/82.74
  6. Step 6: Final answer
    x = 113.11

Related Problems

Find fourth proportional to 41.37, 56.56 and 41.37
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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.