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Finding the Fourth Proportional to 48.80, 73.10 and 36.86

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Solution

The fourth proportional to 48.80, 73.10 and 36.86 is: 55.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.80 : 73.10 = 36.86 : x
  2. Step 2: Convert to fraction form
    48.80/73.10 = 36.86/x
  3. Step 3: Cross multiply
    48.80x = 73.10 × 36.86
  4. Step 4: Simplify right side
    48.80x = 2,694.19
  5. Step 5: Solve for x
    x = 2,694.19/48.80
  6. Step 6: Final answer
    x = 55.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.