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Finding the Fourth Proportional to 48.60, 67.14 and 34.78

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Solution

The fourth proportional to 48.60, 67.14 and 34.78 is: 48.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.60 : 67.14 = 34.78 : x
  2. Step 2: Convert to fraction form
    48.60/67.14 = 34.78/x
  3. Step 3: Cross multiply
    48.60x = 67.14 × 34.78
  4. Step 4: Simplify right side
    48.60x = 2,335.13
  5. Step 5: Solve for x
    x = 2,335.13/48.60
  6. Step 6: Final answer
    x = 48.05

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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.