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Finding the Fourth Proportional to 38.16, 57.12 and 20.07

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Solution

The fourth proportional to 38.16, 57.12 and 20.07 is: 30.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.16 : 57.12 = 20.07 : x
  2. Step 2: Convert to fraction form
    38.16/57.12 = 20.07/x
  3. Step 3: Cross multiply
    38.16x = 57.12 × 20.07
  4. Step 4: Simplify right side
    38.16x = 1,146.40
  5. Step 5: Solve for x
    x = 1,146.40/38.16
  6. Step 6: Final answer
    x = 30.04

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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.