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Finding the Fourth Proportional to 29.67, 40.91 and 23.55

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Solution

The fourth proportional to 29.67, 40.91 and 23.55 is: 32.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.67 : 40.91 = 23.55 : x
  2. Step 2: Convert to fraction form
    29.67/40.91 = 23.55/x
  3. Step 3: Cross multiply
    29.67x = 40.91 × 23.55
  4. Step 4: Simplify right side
    29.67x = 963.31
  5. Step 5: Solve for x
    x = 963.31/29.67
  6. Step 6: Final answer
    x = 32.47

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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.