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Finding the Fourth Proportional to 108.70, 149.88 and 91.24

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Solution

The fourth proportional to 108.70, 149.88 and 91.24 is: 125.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.70 : 149.88 = 91.24 : x
  2. Step 2: Convert to fraction form
    108.70/149.88 = 91.24/x
  3. Step 3: Cross multiply
    108.70x = 149.88 × 91.24
  4. Step 4: Simplify right side
    108.70x = 13,675.05
  5. Step 5: Solve for x
    x = 13,675.05/108.70
  6. Step 6: Final answer
    x = 125.81

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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.