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Finding the Fourth Proportional to 23.24, 32.16 and 22.24

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Solution

The fourth proportional to 23.24, 32.16 and 22.24 is: 30.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.24 : 32.16 = 22.24 : x
  2. Step 2: Convert to fraction form
    23.24/32.16 = 22.24/x
  3. Step 3: Cross multiply
    23.24x = 32.16 × 22.24
  4. Step 4: Simplify right side
    23.24x = 715.24
  5. Step 5: Solve for x
    x = 715.24/23.24
  6. Step 6: Final answer
    x = 30.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.