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Finding the Fourth Proportional to 110.24, 151.72 and 96.46

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Solution

The fourth proportional to 110.24, 151.72 and 96.46 is: 132.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.24 : 151.72 = 96.46 : x
  2. Step 2: Convert to fraction form
    110.24/151.72 = 96.46/x
  3. Step 3: Cross multiply
    110.24x = 151.72 × 96.46
  4. Step 4: Simplify right side
    110.24x = 14,634.91
  5. Step 5: Solve for x
    x = 14,634.91/110.24
  6. Step 6: Final answer
    x = 132.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.