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Finding the Fourth Proportional to 96.31, 144.18 and 61.99

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Solution

The fourth proportional to 96.31, 144.18 and 61.99 is: 92.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.31 : 144.18 = 61.99 : x
  2. Step 2: Convert to fraction form
    96.31/144.18 = 61.99/x
  3. Step 3: Cross multiply
    96.31x = 144.18 × 61.99
  4. Step 4: Simplify right side
    96.31x = 8,937.72
  5. Step 5: Solve for x
    x = 8,937.72/96.31
  6. Step 6: Final answer
    x = 92.80

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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.