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Finding the Fourth Proportional to 96.32, 144.60 and 78.48

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Solution

The fourth proportional to 96.32, 144.60 and 78.48 is: 117.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.32 : 144.60 = 78.48 : x
  2. Step 2: Convert to fraction form
    96.32/144.60 = 78.48/x
  3. Step 3: Cross multiply
    96.32x = 144.60 × 78.48
  4. Step 4: Simplify right side
    96.32x = 11,348.21
  5. Step 5: Solve for x
    x = 11,348.21/96.32
  6. Step 6: Final answer
    x = 117.82

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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.