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Finding the Fourth Proportional to 38.13, 56.86 and 34.08

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Solution

The fourth proportional to 38.13, 56.86 and 34.08 is: 50.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.13 : 56.86 = 34.08 : x
  2. Step 2: Convert to fraction form
    38.13/56.86 = 34.08/x
  3. Step 3: Cross multiply
    38.13x = 56.86 × 34.08
  4. Step 4: Simplify right side
    38.13x = 1,937.70
  5. Step 5: Solve for x
    x = 1,937.70/38.13
  6. Step 6: Final answer
    x = 50.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.