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Finding the Fourth Proportional to 82.67, 113.30 and 82.53

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Solution

The fourth proportional to 82.67, 113.30 and 82.53 is: 113.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.67 : 113.30 = 82.53 : x
  2. Step 2: Convert to fraction form
    82.67/113.30 = 82.53/x
  3. Step 3: Cross multiply
    82.67x = 113.30 × 82.53
  4. Step 4: Simplify right side
    82.67x = 9,350.24
  5. Step 5: Solve for x
    x = 9,350.24/82.67
  6. Step 6: Final answer
    x = 113.11

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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.