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Finding the Fourth Proportional to 22.30, 30.72 and 17.68

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Solution

The fourth proportional to 22.30, 30.72 and 17.68 is: 24.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.30 : 30.72 = 17.68 : x
  2. Step 2: Convert to fraction form
    22.30/30.72 = 17.68/x
  3. Step 3: Cross multiply
    22.30x = 30.72 × 17.68
  4. Step 4: Simplify right side
    22.30x = 543.13
  5. Step 5: Solve for x
    x = 543.13/22.30
  6. Step 6: Final answer
    x = 24.36

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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.