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Finding the Fourth Proportional to 108.68, 149.96 and 65

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Solution

The fourth proportional to 108.68, 149.96 and 65 is: 89.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.68 : 149.96 = 65 : x
  2. Step 2: Convert to fraction form
    108.68/149.96 = 65/x
  3. Step 3: Cross multiply
    108.68x = 149.96 × 65
  4. Step 4: Simplify right side
    108.68x = 9,747.08
  5. Step 5: Solve for x
    x = 9,747.08/108.68
  6. Step 6: Final answer
    x = 89.69

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Why These Related Problems?

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