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Finding the Fourth Proportional to 96.26, 144.57 and 70.66

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Solution

The fourth proportional to 96.26, 144.57 and 70.66 is: 106.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.26 : 144.57 = 70.66 : x
  2. Step 2: Convert to fraction form
    96.26/144.57 = 70.66/x
  3. Step 3: Cross multiply
    96.26x = 144.57 × 70.66
  4. Step 4: Simplify right side
    96.26x = 10,214.59
  5. Step 5: Solve for x
    x = 10,214.59/96.26
  6. Step 6: Final answer
    x = 106.11

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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.