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Finding the Fourth Proportional to 48.45, 66.92 and 42.64

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Solution

The fourth proportional to 48.45, 66.92 and 42.64 is: 58.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.45 : 66.92 = 42.64 : x
  2. Step 2: Convert to fraction form
    48.45/66.92 = 42.64/x
  3. Step 3: Cross multiply
    48.45x = 66.92 × 42.64
  4. Step 4: Simplify right side
    48.45x = 2,853.39
  5. Step 5: Solve for x
    x = 2,853.39/48.45
  6. Step 6: Final answer
    x = 58.90

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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.