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Finding the Fourth Proportional to 29.12, 40.20 and 23.66

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Solution

The fourth proportional to 29.12, 40.20 and 23.66 is: 32.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.12 : 40.20 = 23.66 : x
  2. Step 2: Convert to fraction form
    29.12/40.20 = 23.66/x
  3. Step 3: Cross multiply
    29.12x = 40.20 × 23.66
  4. Step 4: Simplify right side
    29.12x = 951.13
  5. Step 5: Solve for x
    x = 951.13/29.12
  6. Step 6: Final answer
    x = 32.66

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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.