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Finding the Fourth Proportional to 96.53, 144.58 and 60.41

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Solution

The fourth proportional to 96.53, 144.58 and 60.41 is: 90.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.53 : 144.58 = 60.41 : x
  2. Step 2: Convert to fraction form
    96.53/144.58 = 60.41/x
  3. Step 3: Cross multiply
    96.53x = 144.58 × 60.41
  4. Step 4: Simplify right side
    96.53x = 8,734.08
  5. Step 5: Solve for x
    x = 8,734.08/96.53
  6. Step 6: Final answer
    x = 90.48

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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.