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Finding the Fourth Proportional to 22.94, 34.02 and 22.76

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Solution

The fourth proportional to 22.94, 34.02 and 22.76 is: 33.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.94 : 34.02 = 22.76 : x
  2. Step 2: Convert to fraction form
    22.94/34.02 = 22.76/x
  3. Step 3: Cross multiply
    22.94x = 34.02 × 22.76
  4. Step 4: Simplify right side
    22.94x = 774.30
  5. Step 5: Solve for x
    x = 774.30/22.94
  6. Step 6: Final answer
    x = 33.75

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.