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Finding the Fourth Proportional to 96.29, 132.28 and 95.68

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Solution

The fourth proportional to 96.29, 132.28 and 95.68 is: 131.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.29 : 132.28 = 95.68 : x
  2. Step 2: Convert to fraction form
    96.29/132.28 = 95.68/x
  3. Step 3: Cross multiply
    96.29x = 132.28 × 95.68
  4. Step 4: Simplify right side
    96.29x = 12,657.01
  5. Step 5: Solve for x
    x = 12,657.01/96.29
  6. Step 6: Final answer
    x = 131.45

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.