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Finding the Fourth Proportional to 29.13, 40.23 and 23.74

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Solution

The fourth proportional to 29.13, 40.23 and 23.74 is: 32.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.13 : 40.23 = 23.74 : x
  2. Step 2: Convert to fraction form
    29.13/40.23 = 23.74/x
  3. Step 3: Cross multiply
    29.13x = 40.23 × 23.74
  4. Step 4: Simplify right side
    29.13x = 955.19
  5. Step 5: Solve for x
    x = 955.19/29.13
  6. Step 6: Final answer
    x = 32.79

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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.