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Finding the Fourth Proportional to 110.14, 151.82 and 71.26

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Solution

The fourth proportional to 110.14, 151.82 and 71.26 is: 98.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.14 : 151.82 = 71.26 : x
  2. Step 2: Convert to fraction form
    110.14/151.82 = 71.26/x
  3. Step 3: Cross multiply
    110.14x = 151.82 × 71.26
  4. Step 4: Simplify right side
    110.14x = 10,818.69
  5. Step 5: Solve for x
    x = 10,818.69/110.14
  6. Step 6: Final answer
    x = 98.23

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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.