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Finding the Fourth Proportional to 48.97, 67.23 and 42.80

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Solution

The fourth proportional to 48.97, 67.23 and 42.80 is: 58.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.97 : 67.23 = 42.80 : x
  2. Step 2: Convert to fraction form
    48.97/67.23 = 42.80/x
  3. Step 3: Cross multiply
    48.97x = 67.23 × 42.80
  4. Step 4: Simplify right side
    48.97x = 2,877.11
  5. Step 5: Solve for x
    x = 2,877.11/48.97
  6. Step 6: Final answer
    x = 58.75

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.