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Finding the Fourth Proportional to 22.86, 31.50 and 21.56

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Solution

The fourth proportional to 22.86, 31.50 and 21.56 is: 29.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.86 : 31.50 = 21.56 : x
  2. Step 2: Convert to fraction form
    22.86/31.50 = 21.56/x
  3. Step 3: Cross multiply
    22.86x = 31.50 × 21.56
  4. Step 4: Simplify right side
    22.86x = 679.14
  5. Step 5: Solve for x
    x = 679.14/22.86
  6. Step 6: Final answer
    x = 29.71

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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.