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Finding the Fourth Proportional to 22.73, 34.02 and 15.93

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Solution

The fourth proportional to 22.73, 34.02 and 15.93 is: 23.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.73 : 34.02 = 15.93 : x
  2. Step 2: Convert to fraction form
    22.73/34.02 = 15.93/x
  3. Step 3: Cross multiply
    22.73x = 34.02 × 15.93
  4. Step 4: Simplify right side
    22.73x = 541.94
  5. Step 5: Solve for x
    x = 541.94/22.73
  6. Step 6: Final answer
    x = 23.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.