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Finding the Fourth Proportional to 41.29, 61.93 and 31.16

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Solution

The fourth proportional to 41.29, 61.93 and 31.16 is: 46.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.29 : 61.93 = 31.16 : x
  2. Step 2: Convert to fraction form
    41.29/61.93 = 31.16/x
  3. Step 3: Cross multiply
    41.29x = 61.93 × 31.16
  4. Step 4: Simplify right side
    41.29x = 1,929.74
  5. Step 5: Solve for x
    x = 1,929.74/41.29
  6. Step 6: Final answer
    x = 46.74

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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.