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Finding the Fourth Proportional to 96.56, 144.59 and 87.65

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Solution

The fourth proportional to 96.56, 144.59 and 87.65 is: 131.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.56 : 144.59 = 87.65 : x
  2. Step 2: Convert to fraction form
    96.56/144.59 = 87.65/x
  3. Step 3: Cross multiply
    96.56x = 144.59 × 87.65
  4. Step 4: Simplify right side
    96.56x = 12,672.15
  5. Step 5: Solve for x
    x = 12,672.15/96.56
  6. Step 6: Final answer
    x = 131.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.