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Finding the Fourth Proportional to 37.69, 52.02 and 24.59

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Solution

The fourth proportional to 37.69, 52.02 and 24.59 is: 33.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.69 : 52.02 = 24.59 : x
  2. Step 2: Convert to fraction form
    37.69/52.02 = 24.59/x
  3. Step 3: Cross multiply
    37.69x = 52.02 × 24.59
  4. Step 4: Simplify right side
    37.69x = 1,279.17
  5. Step 5: Solve for x
    x = 1,279.17/37.69
  6. Step 6: Final answer
    x = 33.94

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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.