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Finding the Fourth Proportional to 71.57, 107.37 and 31.02

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Solution

The fourth proportional to 71.57, 107.37 and 31.02 is: 46.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.57 : 107.37 = 31.02 : x
  2. Step 2: Convert to fraction form
    71.57/107.37 = 31.02/x
  3. Step 3: Cross multiply
    71.57x = 107.37 × 31.02
  4. Step 4: Simplify right side
    71.57x = 3,330.62
  5. Step 5: Solve for x
    x = 3,330.62/71.57
  6. Step 6: Final answer
    x = 46.54

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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.