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Finding the Fourth Proportional to 82.55, 124.34 and 75.17

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Solution

The fourth proportional to 82.55, 124.34 and 75.17 is: 113.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.55 : 124.34 = 75.17 : x
  2. Step 2: Convert to fraction form
    82.55/124.34 = 75.17/x
  3. Step 3: Cross multiply
    82.55x = 124.34 × 75.17
  4. Step 4: Simplify right side
    82.55x = 9,346.64
  5. Step 5: Solve for x
    x = 9,346.64/82.55
  6. Step 6: Final answer
    x = 113.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.