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Finding the Fourth Proportional to 49.65, 74.16 and 38.19

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Solution

The fourth proportional to 49.65, 74.16 and 38.19 is: 57.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.65 : 74.16 = 38.19 : x
  2. Step 2: Convert to fraction form
    49.65/74.16 = 38.19/x
  3. Step 3: Cross multiply
    49.65x = 74.16 × 38.19
  4. Step 4: Simplify right side
    49.65x = 2,832.17
  5. Step 5: Solve for x
    x = 2,832.17/49.65
  6. Step 6: Final answer
    x = 57.04

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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.