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Finding the Fourth Proportional to 72.60, 108.86 and 31.43

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Solution

The fourth proportional to 72.60, 108.86 and 31.43 is: 47.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.60 : 108.86 = 31.43 : x
  2. Step 2: Convert to fraction form
    72.60/108.86 = 31.43/x
  3. Step 3: Cross multiply
    72.60x = 108.86 × 31.43
  4. Step 4: Simplify right side
    72.60x = 3,420.77
  5. Step 5: Solve for x
    x = 3,420.77/72.60
  6. Step 6: Final answer
    x = 47.12

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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.