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Finding the Fourth Proportional to 48.50, 72.82 and 31.42

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Solution

The fourth proportional to 48.50, 72.82 and 31.42 is: 47.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.50 : 72.82 = 31.42 : x
  2. Step 2: Convert to fraction form
    48.50/72.82 = 31.42/x
  3. Step 3: Cross multiply
    48.50x = 72.82 × 31.42
  4. Step 4: Simplify right side
    48.50x = 2,287.96
  5. Step 5: Solve for x
    x = 2,287.96/48.50
  6. Step 6: Final answer
    x = 47.17

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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.