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Finding the Fourth Proportional to 96.88, 144.63 and 84.14

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Solution

The fourth proportional to 96.88, 144.63 and 84.14 is: 125.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.88 : 144.63 = 84.14 : x
  2. Step 2: Convert to fraction form
    96.88/144.63 = 84.14/x
  3. Step 3: Cross multiply
    96.88x = 144.63 × 84.14
  4. Step 4: Simplify right side
    96.88x = 12,169.17
  5. Step 5: Solve for x
    x = 12,169.17/96.88
  6. Step 6: Final answer
    x = 125.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.