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Finding the Fourth Proportional to 110.38, 152.33 and 71.57

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Solution

The fourth proportional to 110.38, 152.33 and 71.57 is: 98.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.38 : 152.33 = 71.57 : x
  2. Step 2: Convert to fraction form
    110.38/152.33 = 71.57/x
  3. Step 3: Cross multiply
    110.38x = 152.33 × 71.57
  4. Step 4: Simplify right side
    110.38x = 10,901.14
  5. Step 5: Solve for x
    x = 10,901.14/110.38
  6. Step 6: Final answer
    x = 98.76

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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.