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Finding the Fourth Proportional to 96.08, 144.02 and 77.88

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Solution

The fourth proportional to 96.08, 144.02 and 77.88 is: 116.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.08 : 144.02 = 77.88 : x
  2. Step 2: Convert to fraction form
    96.08/144.02 = 77.88/x
  3. Step 3: Cross multiply
    96.08x = 144.02 × 77.88
  4. Step 4: Simplify right side
    96.08x = 11,216.28
  5. Step 5: Solve for x
    x = 11,216.28/96.08
  6. Step 6: Final answer
    x = 116.74

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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.