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Finding the Fourth Proportional to 72.61, 108.82 and 31.43

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Solution

The fourth proportional to 72.61, 108.82 and 31.43 is: 47.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.61 : 108.82 = 31.43 : x
  2. Step 2: Convert to fraction form
    72.61/108.82 = 31.43/x
  3. Step 3: Cross multiply
    72.61x = 108.82 × 31.43
  4. Step 4: Simplify right side
    72.61x = 3,420.06
  5. Step 5: Solve for x
    x = 3,420.06/72.61
  6. Step 6: Final answer
    x = 47.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.