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Finding the Fourth Proportional to 74.56, 102.84 and 59.92

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Solution

The fourth proportional to 74.56, 102.84 and 59.92 is: 82.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.56 : 102.84 = 59.92 : x
  2. Step 2: Convert to fraction form
    74.56/102.84 = 59.92/x
  3. Step 3: Cross multiply
    74.56x = 102.84 × 59.92
  4. Step 4: Simplify right side
    74.56x = 6,162.17
  5. Step 5: Solve for x
    x = 6,162.17/74.56
  6. Step 6: Final answer
    x = 82.65

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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.