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Finding the Fourth Proportional to 22.59, 33.65 and 21.42

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Solution

The fourth proportional to 22.59, 33.65 and 21.42 is: 31.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.59 : 33.65 = 21.42 : x
  2. Step 2: Convert to fraction form
    22.59/33.65 = 21.42/x
  3. Step 3: Cross multiply
    22.59x = 33.65 × 21.42
  4. Step 4: Simplify right side
    22.59x = 720.84
  5. Step 5: Solve for x
    x = 720.84/22.59
  6. Step 6: Final answer
    x = 31.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.