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Finding the Fourth Proportional to 96.13, 144.79 and 87.81

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Solution

The fourth proportional to 96.13, 144.79 and 87.81 is: 132.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.13 : 144.79 = 87.81 : x
  2. Step 2: Convert to fraction form
    96.13/144.79 = 87.81/x
  3. Step 3: Cross multiply
    96.13x = 144.79 × 87.81
  4. Step 4: Simplify right side
    96.13x = 12,714.01
  5. Step 5: Solve for x
    x = 12,714.01/96.13
  6. Step 6: Final answer
    x = 132.26

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.