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Finding the Fourth Proportional to 52.56, 72.50 and 31.82

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Solution

The fourth proportional to 52.56, 72.50 and 31.82 is: 43.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.56 : 72.50 = 31.82 : x
  2. Step 2: Convert to fraction form
    52.56/72.50 = 31.82/x
  3. Step 3: Cross multiply
    52.56x = 72.50 × 31.82
  4. Step 4: Simplify right side
    52.56x = 2,306.43
  5. Step 5: Solve for x
    x = 2,306.43/52.56
  6. Step 6: Final answer
    x = 43.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.