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Finding the Fourth Proportional to 96.74, 144.98 and 60.56

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Solution

The fourth proportional to 96.74, 144.98 and 60.56 is: 90.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.74 : 144.98 = 60.56 : x
  2. Step 2: Convert to fraction form
    96.74/144.98 = 60.56/x
  3. Step 3: Cross multiply
    96.74x = 144.98 × 60.56
  4. Step 4: Simplify right side
    96.74x = 8,779.99
  5. Step 5: Solve for x
    x = 8,779.99/96.74
  6. Step 6: Final answer
    x = 90.76

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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.