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Finding the Fourth Proportional to 22.40, 30.72 and 21.12

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Solution

The fourth proportional to 22.40, 30.72 and 21.12 is: 28.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.40 : 30.72 = 21.12 : x
  2. Step 2: Convert to fraction form
    22.40/30.72 = 21.12/x
  3. Step 3: Cross multiply
    22.40x = 30.72 × 21.12
  4. Step 4: Simplify right side
    22.40x = 648.81
  5. Step 5: Solve for x
    x = 648.81/22.40
  6. Step 6: Final answer
    x = 28.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.