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Finding the Fourth Proportional to 24.25, 36.23 and 19.72

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Solution

The fourth proportional to 24.25, 36.23 and 19.72 is: 29.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.25 : 36.23 = 19.72 : x
  2. Step 2: Convert to fraction form
    24.25/36.23 = 19.72/x
  3. Step 3: Cross multiply
    24.25x = 36.23 × 19.72
  4. Step 4: Simplify right side
    24.25x = 714.46
  5. Step 5: Solve for x
    x = 714.46/24.25
  6. Step 6: Final answer
    x = 29.46

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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.