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Finding the Fourth Proportional to 22.13, 30.51 and 21.65

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Solution

The fourth proportional to 22.13, 30.51 and 21.65 is: 29.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.13 : 30.51 = 21.65 : x
  2. Step 2: Convert to fraction form
    22.13/30.51 = 21.65/x
  3. Step 3: Cross multiply
    22.13x = 30.51 × 21.65
  4. Step 4: Simplify right side
    22.13x = 660.54
  5. Step 5: Solve for x
    x = 660.54/22.13
  6. Step 6: Final answer
    x = 29.85

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