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Finding the Fourth Proportional to 21.74, 32.31 and 21.14

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Solution

The fourth proportional to 21.74, 32.31 and 21.14 is: 31.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.74 : 32.31 = 21.14 : x
  2. Step 2: Convert to fraction form
    21.74/32.31 = 21.14/x
  3. Step 3: Cross multiply
    21.74x = 32.31 × 21.14
  4. Step 4: Simplify right side
    21.74x = 682.93
  5. Step 5: Solve for x
    x = 682.93/21.74
  6. Step 6: Final answer
    x = 31.41

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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.