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Finding the Fourth Proportional to 71.33, 98.45 and 59.66

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Solution

The fourth proportional to 71.33, 98.45 and 59.66 is: 82.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.33 : 98.45 = 59.66 : x
  2. Step 2: Convert to fraction form
    71.33/98.45 = 59.66/x
  3. Step 3: Cross multiply
    71.33x = 98.45 × 59.66
  4. Step 4: Simplify right side
    71.33x = 5,873.53
  5. Step 5: Solve for x
    x = 5,873.53/71.33
  6. Step 6: Final answer
    x = 82.34

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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.