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Finding the Fourth Proportional to 59.53, 82.19 and 38.86

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Solution

The fourth proportional to 59.53, 82.19 and 38.86 is: 53.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.53 : 82.19 = 38.86 : x
  2. Step 2: Convert to fraction form
    59.53/82.19 = 38.86/x
  3. Step 3: Cross multiply
    59.53x = 82.19 × 38.86
  4. Step 4: Simplify right side
    59.53x = 3,193.30
  5. Step 5: Solve for x
    x = 3,193.30/59.53
  6. Step 6: Final answer
    x = 53.65

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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.