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Finding the Fourth Proportional to 38.68, 53.07 and 38.04

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Solution

The fourth proportional to 38.68, 53.07 and 38.04 is: 52.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.68 : 53.07 = 38.04 : x
  2. Step 2: Convert to fraction form
    38.68/53.07 = 38.04/x
  3. Step 3: Cross multiply
    38.68x = 53.07 × 38.04
  4. Step 4: Simplify right side
    38.68x = 2,018.78
  5. Step 5: Solve for x
    x = 2,018.78/38.68
  6. Step 6: Final answer
    x = 52.19

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.