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Finding the Fourth Proportional to 30.52, 45.71 and 21.92

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Solution

The fourth proportional to 30.52, 45.71 and 21.92 is: 32.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.52 : 45.71 = 21.92 : x
  2. Step 2: Convert to fraction form
    30.52/45.71 = 21.92/x
  3. Step 3: Cross multiply
    30.52x = 45.71 × 21.92
  4. Step 4: Simplify right side
    30.52x = 1,001.85
  5. Step 5: Solve for x
    x = 1,001.85/30.52
  6. Step 6: Final answer
    x = 32.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.