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Finding the Fourth Proportional to 71.74, 107.63 and 31.17

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Solution

The fourth proportional to 71.74, 107.63 and 31.17 is: 46.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.74 : 107.63 = 31.17 : x
  2. Step 2: Convert to fraction form
    71.74/107.63 = 31.17/x
  3. Step 3: Cross multiply
    71.74x = 107.63 × 31.17
  4. Step 4: Simplify right side
    71.74x = 3,354.83
  5. Step 5: Solve for x
    x = 3,354.83/71.74
  6. Step 6: Final answer
    x = 46.76

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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.