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Finding the Fourth Proportional to 96.49, 144.62 and 48.41

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Solution

The fourth proportional to 96.49, 144.62 and 48.41 is: 72.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.49 : 144.62 = 48.41 : x
  2. Step 2: Convert to fraction form
    96.49/144.62 = 48.41/x
  3. Step 3: Cross multiply
    96.49x = 144.62 × 48.41
  4. Step 4: Simplify right side
    96.49x = 7,000.81
  5. Step 5: Solve for x
    x = 7,000.81/96.49
  6. Step 6: Final answer
    x = 72.55

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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.