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Finding the Fourth Proportional to 96.64, 144.31 and 84.48

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Solution

The fourth proportional to 96.64, 144.31 and 84.48 is: 126.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.64 : 144.31 = 84.48 : x
  2. Step 2: Convert to fraction form
    96.64/144.31 = 84.48/x
  3. Step 3: Cross multiply
    96.64x = 144.31 × 84.48
  4. Step 4: Simplify right side
    96.64x = 12,191.31
  5. Step 5: Solve for x
    x = 12,191.31/96.64
  6. Step 6: Final answer
    x = 126.15

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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.