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Finding the Fourth Proportional to 52.22, 78.16 and 31.97

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Solution

The fourth proportional to 52.22, 78.16 and 31.97 is: 47.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.22 : 78.16 = 31.97 : x
  2. Step 2: Convert to fraction form
    52.22/78.16 = 31.97/x
  3. Step 3: Cross multiply
    52.22x = 78.16 × 31.97
  4. Step 4: Simplify right side
    52.22x = 2,498.78
  5. Step 5: Solve for x
    x = 2,498.78/52.22
  6. Step 6: Final answer
    x = 47.85

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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.