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Finding the Fourth Proportional to 108.01, 149.19 and 97.65

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Solution

The fourth proportional to 108.01, 149.19 and 97.65 is: 134.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.01 : 149.19 = 97.65 : x
  2. Step 2: Convert to fraction form
    108.01/149.19 = 97.65/x
  3. Step 3: Cross multiply
    108.01x = 149.19 × 97.65
  4. Step 4: Simplify right side
    108.01x = 14,568.40
  5. Step 5: Solve for x
    x = 14,568.40/108.01
  6. Step 6: Final answer
    x = 134.88

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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.