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Finding the Fourth Proportional to 22.60, 31.15 and 21.21

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Solution

The fourth proportional to 22.60, 31.15 and 21.21 is: 29.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.60 : 31.15 = 21.21 : x
  2. Step 2: Convert to fraction form
    22.60/31.15 = 21.21/x
  3. Step 3: Cross multiply
    22.60x = 31.15 × 21.21
  4. Step 4: Simplify right side
    22.60x = 660.69
  5. Step 5: Solve for x
    x = 660.69/22.60
  6. Step 6: Final answer
    x = 29.23

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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.