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Finding the Fourth Proportional to 144.62, 216.96 and 76.04

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Solution

The fourth proportional to 144.62, 216.96 and 76.04 is: 114.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.62 : 216.96 = 76.04 : x
  2. Step 2: Convert to fraction form
    144.62/216.96 = 76.04/x
  3. Step 3: Cross multiply
    144.62x = 216.96 × 76.04
  4. Step 4: Simplify right side
    144.62x = 16,497.64
  5. Step 5: Solve for x
    x = 16,497.64/144.62
  6. Step 6: Final answer
    x = 114.08

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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.