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Finding the Fourth Proportional to 29.50, 40.67 and 23.69

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Solution

The fourth proportional to 29.50, 40.67 and 23.69 is: 32.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.50 : 40.67 = 23.69 : x
  2. Step 2: Convert to fraction form
    29.50/40.67 = 23.69/x
  3. Step 3: Cross multiply
    29.50x = 40.67 × 23.69
  4. Step 4: Simplify right side
    29.50x = 963.47
  5. Step 5: Solve for x
    x = 963.47/29.50
  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.