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Finding the Fourth Proportional to 49.04, 73.48 and 42.65

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Solution

The fourth proportional to 49.04, 73.48 and 42.65 is: 63.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.04 : 73.48 = 42.65 : x
  2. Step 2: Convert to fraction form
    49.04/73.48 = 42.65/x
  3. Step 3: Cross multiply
    49.04x = 73.48 × 42.65
  4. Step 4: Simplify right side
    49.04x = 3,133.92
  5. Step 5: Solve for x
    x = 3,133.92/49.04
  6. Step 6: Final answer
    x = 63.91

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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.