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Finding the Fourth Proportional to 95.65, 132.03 and 69.46

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Solution

The fourth proportional to 95.65, 132.03 and 69.46 is: 95.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.65 : 132.03 = 69.46 : x
  2. Step 2: Convert to fraction form
    95.65/132.03 = 69.46/x
  3. Step 3: Cross multiply
    95.65x = 132.03 × 69.46
  4. Step 4: Simplify right side
    95.65x = 9,170.47
  5. Step 5: Solve for x
    x = 9,170.47/95.65
  6. Step 6: Final answer
    x = 95.88

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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.