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Finding the Fourth Proportional to 29.24, 40.28 and 23.07

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Solution

The fourth proportional to 29.24, 40.28 and 23.07 is: 31.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.24 : 40.28 = 23.07 : x
  2. Step 2: Convert to fraction form
    29.24/40.28 = 23.07/x
  3. Step 3: Cross multiply
    29.24x = 40.28 × 23.07
  4. Step 4: Simplify right side
    29.24x = 929.26
  5. Step 5: Solve for x
    x = 929.26/29.24
  6. Step 6: Final answer
    x = 31.78

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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.