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Finding the Fourth Proportional to 110.38, 152.32 and 61.26

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Solution

The fourth proportional to 110.38, 152.32 and 61.26 is: 84.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.38 : 152.32 = 61.26 : x
  2. Step 2: Convert to fraction form
    110.38/152.32 = 61.26/x
  3. Step 3: Cross multiply
    110.38x = 152.32 × 61.26
  4. Step 4: Simplify right side
    110.38x = 9,330.69
  5. Step 5: Solve for x
    x = 9,330.69/110.38
  6. Step 6: Final answer
    x = 84.53

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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.