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Finding the Fourth Proportional to 32.92, 49.42 and 31.12

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Solution

The fourth proportional to 32.92, 49.42 and 31.12 is: 46.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.92 : 49.42 = 31.12 : x
  2. Step 2: Convert to fraction form
    32.92/49.42 = 31.12/x
  3. Step 3: Cross multiply
    32.92x = 49.42 × 31.12
  4. Step 4: Simplify right side
    32.92x = 1,537.95
  5. Step 5: Solve for x
    x = 1,537.95/32.92
  6. Step 6: Final answer
    x = 46.72

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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.