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Finding the Fourth Proportional to 59.20, 81.80 and 48.40

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Solution

The fourth proportional to 59.20, 81.80 and 48.40 is: 66.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.20 : 81.80 = 48.40 : x
  2. Step 2: Convert to fraction form
    59.20/81.80 = 48.40/x
  3. Step 3: Cross multiply
    59.20x = 81.80 × 48.40
  4. Step 4: Simplify right side
    59.20x = 3,959.12
  5. Step 5: Solve for x
    x = 3,959.12/59.20
  6. Step 6: Final answer
    x = 66.88

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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.