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Finding the Fourth Proportional to 144.92, 216.96 and 106.18

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Solution

The fourth proportional to 144.92, 216.96 and 106.18 is: 158.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.92 : 216.96 = 106.18 : x
  2. Step 2: Convert to fraction form
    144.92/216.96 = 106.18/x
  3. Step 3: Cross multiply
    144.92x = 216.96 × 106.18
  4. Step 4: Simplify right side
    144.92x = 23,036.81
  5. Step 5: Solve for x
    x = 23,036.81/144.92
  6. Step 6: Final answer
    x = 158.96

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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.