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Finding the Fourth Proportional to 38.70, 52.80 and 38.16

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Solution

The fourth proportional to 38.70, 52.80 and 38.16 is: 52.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.70 : 52.80 = 38.16 : x
  2. Step 2: Convert to fraction form
    38.70/52.80 = 38.16/x
  3. Step 3: Cross multiply
    38.70x = 52.80 × 38.16
  4. Step 4: Simplify right side
    38.70x = 2,014.85
  5. Step 5: Solve for x
    x = 2,014.85/38.70
  6. Step 6: Final answer
    x = 52.06

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.