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Finding the Fourth Proportional to 71.31, 106.85 and 42.75

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Solution

The fourth proportional to 71.31, 106.85 and 42.75 is: 64.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.31 : 106.85 = 42.75 : x
  2. Step 2: Convert to fraction form
    71.31/106.85 = 42.75/x
  3. Step 3: Cross multiply
    71.31x = 106.85 × 42.75
  4. Step 4: Simplify right side
    71.31x = 4,567.62
  5. Step 5: Solve for x
    x = 4,567.62/71.31
  6. Step 6: Final answer
    x = 64.05

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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.