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Finding the Fourth Proportional to 48.20, 66.42 and 34.34

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Solution

The fourth proportional to 48.20, 66.42 and 34.34 is: 47.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.20 : 66.42 = 34.34 : x
  2. Step 2: Convert to fraction form
    48.20/66.42 = 34.34/x
  3. Step 3: Cross multiply
    48.20x = 66.42 × 34.34
  4. Step 4: Simplify right side
    48.20x = 2,280.86
  5. Step 5: Solve for x
    x = 2,280.86/48.20
  6. Step 6: Final answer
    x = 47.32

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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.