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Finding the Fourth Proportional to 31.59, 43.61 and 21.24

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Solution

The fourth proportional to 31.59, 43.61 and 21.24 is: 29.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.59 : 43.61 = 21.24 : x
  2. Step 2: Convert to fraction form
    31.59/43.61 = 21.24/x
  3. Step 3: Cross multiply
    31.59x = 43.61 × 21.24
  4. Step 4: Simplify right side
    31.59x = 926.17
  5. Step 5: Solve for x
    x = 926.17/31.59
  6. Step 6: Final answer
    x = 29.32

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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.