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Finding the Fourth Proportional to 48.62, 72.92 and 31.44

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Solution

The fourth proportional to 48.62, 72.92 and 31.44 is: 47.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.62 : 72.92 = 31.44 : x
  2. Step 2: Convert to fraction form
    48.62/72.92 = 31.44/x
  3. Step 3: Cross multiply
    48.62x = 72.92 × 31.44
  4. Step 4: Simplify right side
    48.62x = 2,292.60
  5. Step 5: Solve for x
    x = 2,292.60/48.62
  6. Step 6: Final answer
    x = 47.15

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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.