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Finding the Fourth Proportional to 24.31, 36.26 and 23.65

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Solution

The fourth proportional to 24.31, 36.26 and 23.65 is: 35.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.31 : 36.26 = 23.65 : x
  2. Step 2: Convert to fraction form
    24.31/36.26 = 23.65/x
  3. Step 3: Cross multiply
    24.31x = 36.26 × 23.65
  4. Step 4: Simplify right side
    24.31x = 857.55
  5. Step 5: Solve for x
    x = 857.55/24.31
  6. Step 6: Final answer
    x = 35.28

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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.