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Finding the Fourth Proportional to 30.20, 45.17 and 24.39

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Solution

The fourth proportional to 30.20, 45.17 and 24.39 is: 36.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.20 : 45.17 = 24.39 : x
  2. Step 2: Convert to fraction form
    30.20/45.17 = 24.39/x
  3. Step 3: Cross multiply
    30.20x = 45.17 × 24.39
  4. Step 4: Simplify right side
    30.20x = 1,101.57
  5. Step 5: Solve for x
    x = 1,101.57/30.20
  6. Step 6: Final answer
    x = 36.47

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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.