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Finding the Fourth Proportional to 96.61, 144.83 and 42.54

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Solution

The fourth proportional to 96.61, 144.83 and 42.54 is: 63.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.61 : 144.83 = 42.54 : x
  2. Step 2: Convert to fraction form
    96.61/144.83 = 42.54/x
  3. Step 3: Cross multiply
    96.61x = 144.83 × 42.54
  4. Step 4: Simplify right side
    96.61x = 6,160.86
  5. Step 5: Solve for x
    x = 6,160.86/96.61
  6. Step 6: Final answer
    x = 63.77

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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.