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Finding the Fourth Proportional to 96.93, 144.59 and 84.78

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Solution

The fourth proportional to 96.93, 144.59 and 84.78 is: 126.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.93 : 144.59 = 84.78 : x
  2. Step 2: Convert to fraction form
    96.93/144.59 = 84.78/x
  3. Step 3: Cross multiply
    96.93x = 144.59 × 84.78
  4. Step 4: Simplify right side
    96.93x = 12,257.92
  5. Step 5: Solve for x
    x = 12,257.92/96.93
  6. Step 6: Final answer
    x = 126.46

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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.