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Finding the Fourth Proportional to 65.53, 98.31 and 29.47

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Solution

The fourth proportional to 65.53, 98.31 and 29.47 is: 44.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.53 : 98.31 = 29.47 : x
  2. Step 2: Convert to fraction form
    65.53/98.31 = 29.47/x
  3. Step 3: Cross multiply
    65.53x = 98.31 × 29.47
  4. Step 4: Simplify right side
    65.53x = 2,897.20
  5. Step 5: Solve for x
    x = 2,897.20/65.53
  6. Step 6: Final answer
    x = 44.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.