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Finding the Fourth Proportional to 71.53, 98.62 and 59.24

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Solution

The fourth proportional to 71.53, 98.62 and 59.24 is: 81.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.53 : 98.62 = 59.24 : x
  2. Step 2: Convert to fraction form
    71.53/98.62 = 59.24/x
  3. Step 3: Cross multiply
    71.53x = 98.62 × 59.24
  4. Step 4: Simplify right side
    71.53x = 5,842.35
  5. Step 5: Solve for x
    x = 5,842.35/71.53
  6. Step 6: Final answer
    x = 81.68

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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.