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Finding the Fourth Proportional to 96.18, 144.29 and 31.19

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Solution

The fourth proportional to 96.18, 144.29 and 31.19 is: 46.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.18 : 144.29 = 31.19 : x
  2. Step 2: Convert to fraction form
    96.18/144.29 = 31.19/x
  3. Step 3: Cross multiply
    96.18x = 144.29 × 31.19
  4. Step 4: Simplify right side
    96.18x = 4,499.53
  5. Step 5: Solve for x
    x = 4,499.53/96.18
  6. Step 6: Final answer
    x = 46.78

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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.