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Finding the Fourth Proportional to 108.59, 149.84 and 61.97

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Solution

The fourth proportional to 108.59, 149.84 and 61.97 is: 85.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.59 : 149.84 = 61.97 : x
  2. Step 2: Convert to fraction form
    108.59/149.84 = 61.97/x
  3. Step 3: Cross multiply
    108.59x = 149.84 × 61.97
  4. Step 4: Simplify right side
    108.59x = 9,284.99
  5. Step 5: Solve for x
    x = 9,284.99/108.59
  6. Step 6: Final answer
    x = 85.51

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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.