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Finding the Fourth Proportional to 32.74, 45.17 and 21.68

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Solution

The fourth proportional to 32.74, 45.17 and 21.68 is: 29.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.74 : 45.17 = 21.68 : x
  2. Step 2: Convert to fraction form
    32.74/45.17 = 21.68/x
  3. Step 3: Cross multiply
    32.74x = 45.17 × 21.68
  4. Step 4: Simplify right side
    32.74x = 979.18
  5. Step 5: Solve for x
    x = 979.18/32.74
  6. Step 6: Final answer
    x = 29.91

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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.