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Finding the Fourth Proportional to 38.16, 57.24 and 19.64

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Solution

The fourth proportional to 38.16, 57.24 and 19.64 is: 29.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.16 : 57.24 = 19.64 : x
  2. Step 2: Convert to fraction form
    38.16/57.24 = 19.64/x
  3. Step 3: Cross multiply
    38.16x = 57.24 × 19.64
  4. Step 4: Simplify right side
    38.16x = 1,124.19
  5. Step 5: Solve for x
    x = 1,124.19/38.16
  6. Step 6: Final answer
    x = 29.46

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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.