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Finding the Fourth Proportional to 29.19, 40.29 and 22.73

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Solution

The fourth proportional to 29.19, 40.29 and 22.73 is: 31.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.19 : 40.29 = 22.73 : x
  2. Step 2: Convert to fraction form
    29.19/40.29 = 22.73/x
  3. Step 3: Cross multiply
    29.19x = 40.29 × 22.73
  4. Step 4: Simplify right side
    29.19x = 915.79
  5. Step 5: Solve for x
    x = 915.79/29.19
  6. Step 6: Final answer
    x = 31.37

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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.