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Finding the Fourth Proportional to 71.38, 107.07 and 32.86

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Solution

The fourth proportional to 71.38, 107.07 and 32.86 is: 49.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.38 : 107.07 = 32.86 : x
  2. Step 2: Convert to fraction form
    71.38/107.07 = 32.86/x
  3. Step 3: Cross multiply
    71.38x = 107.07 × 32.86
  4. Step 4: Simplify right side
    71.38x = 3,518.32
  5. Step 5: Solve for x
    x = 3,518.32/71.38
  6. Step 6: Final answer
    x = 49.29

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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.