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Finding the Fourth Proportional to 96.49, 144.75 and 45.13

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Solution

The fourth proportional to 96.49, 144.75 and 45.13 is: 67.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.49 : 144.75 = 45.13 : x
  2. Step 2: Convert to fraction form
    96.49/144.75 = 45.13/x
  3. Step 3: Cross multiply
    96.49x = 144.75 × 45.13
  4. Step 4: Simplify right side
    96.49x = 6,532.57
  5. Step 5: Solve for x
    x = 6,532.57/96.49
  6. Step 6: Final answer
    x = 67.70

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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.