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Finding the Fourth Proportional to 71.75, 107.56 and 37.49

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Solution

The fourth proportional to 71.75, 107.56 and 37.49 is: 56.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.75 : 107.56 = 37.49 : x
  2. Step 2: Convert to fraction form
    71.75/107.56 = 37.49/x
  3. Step 3: Cross multiply
    71.75x = 107.56 × 37.49
  4. Step 4: Simplify right side
    71.75x = 4,032.42
  5. Step 5: Solve for x
    x = 4,032.42/71.75
  6. Step 6: Final answer
    x = 56.20

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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.