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Finding the Fourth Proportional to 83.02, 125.02 and 59.14

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Solution

The fourth proportional to 83.02, 125.02 and 59.14 is: 89.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.02 : 125.02 = 59.14 : x
  2. Step 2: Convert to fraction form
    83.02/125.02 = 59.14/x
  3. Step 3: Cross multiply
    83.02x = 125.02 × 59.14
  4. Step 4: Simplify right side
    83.02x = 7,393.68
  5. Step 5: Solve for x
    x = 7,393.68/83.02
  6. Step 6: Final answer
    x = 89.06

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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.