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Finding the Fourth Proportional to 41.61, 62.57 and 31.49

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Solution

The fourth proportional to 41.61, 62.57 and 31.49 is: 47.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.61 : 62.57 = 31.49 : x
  2. Step 2: Convert to fraction form
    41.61/62.57 = 31.49/x
  3. Step 3: Cross multiply
    41.61x = 62.57 × 31.49
  4. Step 4: Simplify right side
    41.61x = 1,970.33
  5. Step 5: Solve for x
    x = 1,970.33/41.61
  6. Step 6: Final answer
    x = 47.35

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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.