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Finding the Fourth Proportional to 82.79, 114.17 and 62.04

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Solution

The fourth proportional to 82.79, 114.17 and 62.04 is: 85.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.79 : 114.17 = 62.04 : x
  2. Step 2: Convert to fraction form
    82.79/114.17 = 62.04/x
  3. Step 3: Cross multiply
    82.79x = 114.17 × 62.04
  4. Step 4: Simplify right side
    82.79x = 7,082.80
  5. Step 5: Solve for x
    x = 7,082.80/82.79
  6. Step 6: Final answer
    x = 85.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.