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Finding the Fourth Proportional to 144.46, 216.62 and 75.88

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Solution

The fourth proportional to 144.46, 216.62 and 75.88 is: 113.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.46 : 216.62 = 75.88 : x
  2. Step 2: Convert to fraction form
    144.46/216.62 = 75.88/x
  3. Step 3: Cross multiply
    144.46x = 216.62 × 75.88
  4. Step 4: Simplify right side
    144.46x = 16,437.13
  5. Step 5: Solve for x
    x = 16,437.13/144.46
  6. Step 6: Final answer
    x = 113.78

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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.