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Finding the Fourth Proportional to 82.74, 113.67 and 74.11

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Solution

The fourth proportional to 82.74, 113.67 and 74.11 is: 101.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.74 : 113.67 = 74.11 : x
  2. Step 2: Convert to fraction form
    82.74/113.67 = 74.11/x
  3. Step 3: Cross multiply
    82.74x = 113.67 × 74.11
  4. Step 4: Simplify right side
    82.74x = 8,424.08
  5. Step 5: Solve for x
    x = 8,424.08/82.74
  6. Step 6: Final answer
    x = 101.81

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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.