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Finding the Fourth Proportional to 38.48, 52.72 and 38.16

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Solution

The fourth proportional to 38.48, 52.72 and 38.16 is: 52.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.48 : 52.72 = 38.16 : x
  2. Step 2: Convert to fraction form
    38.48/52.72 = 38.16/x
  3. Step 3: Cross multiply
    38.48x = 52.72 × 38.16
  4. Step 4: Simplify right side
    38.48x = 2,011.80
  5. Step 5: Solve for x
    x = 2,011.80/38.48
  6. Step 6: Final answer
    x = 52.28

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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.