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Finding the Fourth Proportional to 49.14, 73.34 and 48.83

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Solution

The fourth proportional to 49.14, 73.34 and 48.83 is: 72.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.14 : 73.34 = 48.83 : x
  2. Step 2: Convert to fraction form
    49.14/73.34 = 48.83/x
  3. Step 3: Cross multiply
    49.14x = 73.34 × 48.83
  4. Step 4: Simplify right side
    49.14x = 3,581.19
  5. Step 5: Solve for x
    x = 3,581.19/49.14
  6. Step 6: Final answer
    x = 72.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.