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Finding the Fourth Proportional to 144.76, 216.86 and 112.54

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Solution

The fourth proportional to 144.76, 216.86 and 112.54 is: 168.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.76 : 216.86 = 112.54 : x
  2. Step 2: Convert to fraction form
    144.76/216.86 = 112.54/x
  3. Step 3: Cross multiply
    144.76x = 216.86 × 112.54
  4. Step 4: Simplify right side
    144.76x = 24,405.42
  5. Step 5: Solve for x
    x = 24,405.42/144.76
  6. Step 6: Final answer
    x = 168.59

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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.