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Finding the Fourth Proportional to 16.32, 24.24 and 15.72

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Solution

The fourth proportional to 16.32, 24.24 and 15.72 is: 23.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.32 : 24.24 = 15.72 : x
  2. Step 2: Convert to fraction form
    16.32/24.24 = 15.72/x
  3. Step 3: Cross multiply
    16.32x = 24.24 × 15.72
  4. Step 4: Simplify right side
    16.32x = 381.05
  5. Step 5: Solve for x
    x = 381.05/16.32
  6. Step 6: Final answer
    x = 23.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.