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Finding the Fourth Proportional to 71.86, 107.76 and 31.24

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Solution

The fourth proportional to 71.86, 107.76 and 31.24 is: 46.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.86 : 107.76 = 31.24 : x
  2. Step 2: Convert to fraction form
    71.86/107.76 = 31.24/x
  3. Step 3: Cross multiply
    71.86x = 107.76 × 31.24
  4. Step 4: Simplify right side
    71.86x = 3,365.80
  5. Step 5: Solve for x
    x = 3,365.80/71.86
  6. Step 6: Final answer
    x = 46.84

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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.