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Finding the Fourth Proportional to 38.74, 58.03 and 24.25

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Solution

The fourth proportional to 38.74, 58.03 and 24.25 is: 36.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.74 : 58.03 = 24.25 : x
  2. Step 2: Convert to fraction form
    38.74/58.03 = 24.25/x
  3. Step 3: Cross multiply
    38.74x = 58.03 × 24.25
  4. Step 4: Simplify right side
    38.74x = 1,407.23
  5. Step 5: Solve for x
    x = 1,407.23/38.74
  6. Step 6: Final answer
    x = 36.32

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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.