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Finding the Fourth Proportional to 110.27, 152.08 and 72.38

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Solution

The fourth proportional to 110.27, 152.08 and 72.38 is: 99.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.27 : 152.08 = 72.38 : x
  2. Step 2: Convert to fraction form
    110.27/152.08 = 72.38/x
  3. Step 3: Cross multiply
    110.27x = 152.08 × 72.38
  4. Step 4: Simplify right side
    110.27x = 11,007.75
  5. Step 5: Solve for x
    x = 11,007.75/110.27
  6. Step 6: Final answer
    x = 99.83

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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.