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Finding the Fourth Proportional to 38.16, 57.12 and 32.70

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Solution

The fourth proportional to 38.16, 57.12 and 32.70 is: 48.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.16 : 57.12 = 32.70 : x
  2. Step 2: Convert to fraction form
    38.16/57.12 = 32.70/x
  3. Step 3: Cross multiply
    38.16x = 57.12 × 32.70
  4. Step 4: Simplify right side
    38.16x = 1,867.82
  5. Step 5: Solve for x
    x = 1,867.82/38.16
  6. Step 6: Final answer
    x = 48.95

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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.