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Finding the Fourth Proportional to 96.53, 144.53 and 70.71

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Solution

The fourth proportional to 96.53, 144.53 and 70.71 is: 105.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.53 : 144.53 = 70.71 : x
  2. Step 2: Convert to fraction form
    96.53/144.53 = 70.71/x
  3. Step 3: Cross multiply
    96.53x = 144.53 × 70.71
  4. Step 4: Simplify right side
    96.53x = 10,219.36
  5. Step 5: Solve for x
    x = 10,219.36/96.53
  6. Step 6: Final answer
    x = 105.87

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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.