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Finding the Fourth Proportional to 32.38, 44.71 and 21.49

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Solution

The fourth proportional to 32.38, 44.71 and 21.49 is: 29.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.38 : 44.71 = 21.49 : x
  2. Step 2: Convert to fraction form
    32.38/44.71 = 21.49/x
  3. Step 3: Cross multiply
    32.38x = 44.71 × 21.49
  4. Step 4: Simplify right side
    32.38x = 960.65
  5. Step 5: Solve for x
    x = 960.65/32.38
  6. Step 6: Final answer
    x = 29.67

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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.