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Finding the Fourth Proportional to 96.68, 144.86 and 87.14

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Solution

The fourth proportional to 96.68, 144.86 and 87.14 is: 130.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.68 : 144.86 = 87.14 : x
  2. Step 2: Convert to fraction form
    96.68/144.86 = 87.14/x
  3. Step 3: Cross multiply
    96.68x = 144.86 × 87.14
  4. Step 4: Simplify right side
    96.68x = 12,623.10
  5. Step 5: Solve for x
    x = 12,623.10/96.68
  6. Step 6: Final answer
    x = 130.57

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Why These Related Problems?

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