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Finding the Fourth Proportional to 108.66, 149.85 and 71.76

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Solution

The fourth proportional to 108.66, 149.85 and 71.76 is: 98.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.66 : 149.85 = 71.76 : x
  2. Step 2: Convert to fraction form
    108.66/149.85 = 71.76/x
  3. Step 3: Cross multiply
    108.66x = 149.85 × 71.76
  4. Step 4: Simplify right side
    108.66x = 10,753.24
  5. Step 5: Solve for x
    x = 10,753.24/108.66
  6. Step 6: Final answer
    x = 98.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.