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Finding the Fourth Proportional to 29.15, 40.24 and 21.38

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Solution

The fourth proportional to 29.15, 40.24 and 21.38 is: 29.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.15 : 40.24 = 21.38 : x
  2. Step 2: Convert to fraction form
    29.15/40.24 = 21.38/x
  3. Step 3: Cross multiply
    29.15x = 40.24 × 21.38
  4. Step 4: Simplify right side
    29.15x = 860.33
  5. Step 5: Solve for x
    x = 860.33/29.15
  6. Step 6: Final answer
    x = 29.51

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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.