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Finding the Fourth Proportional to 102.47, 153.60 and 41.61

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Solution

The fourth proportional to 102.47, 153.60 and 41.61 is: 62.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.47 : 153.60 = 41.61 : x
  2. Step 2: Convert to fraction form
    102.47/153.60 = 41.61/x
  3. Step 3: Cross multiply
    102.47x = 153.60 × 41.61
  4. Step 4: Simplify right side
    102.47x = 6,391.72
  5. Step 5: Solve for x
    x = 6,391.72/102.47
  6. Step 6: Final answer
    x = 62.38

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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.