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Finding the Fourth Proportional to 48.61, 67.08 and 26.78

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Solution

The fourth proportional to 48.61, 67.08 and 26.78 is: 36.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.61 : 67.08 = 26.78 : x
  2. Step 2: Convert to fraction form
    48.61/67.08 = 26.78/x
  3. Step 3: Cross multiply
    48.61x = 67.08 × 26.78
  4. Step 4: Simplify right side
    48.61x = 1,796.03
  5. Step 5: Solve for x
    x = 1,796.03/48.61
  6. Step 6: Final answer
    x = 36.95

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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.