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Finding the Fourth Proportional to 29.24, 40.33 and 23.09

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Solution

The fourth proportional to 29.24, 40.33 and 23.09 is: 31.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.24 : 40.33 = 23.09 : x
  2. Step 2: Convert to fraction form
    29.24/40.33 = 23.09/x
  3. Step 3: Cross multiply
    29.24x = 40.33 × 23.09
  4. Step 4: Simplify right side
    29.24x = 931.22
  5. Step 5: Solve for x
    x = 931.22/29.24
  6. Step 6: Final answer
    x = 31.85

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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.