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Finding the Fourth Proportional to 102.28, 153.39 and 37.27

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Solution

The fourth proportional to 102.28, 153.39 and 37.27 is: 55.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.28 : 153.39 = 37.27 : x
  2. Step 2: Convert to fraction form
    102.28/153.39 = 37.27/x
  3. Step 3: Cross multiply
    102.28x = 153.39 × 37.27
  4. Step 4: Simplify right side
    102.28x = 5,716.85
  5. Step 5: Solve for x
    x = 5,716.85/102.28
  6. Step 6: Final answer
    x = 55.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.