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Finding the Fourth Proportional to 22.68, 34.02 and 7.46

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Solution

The fourth proportional to 22.68, 34.02 and 7.46 is: 11.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.68 : 34.02 = 7.46 : x
  2. Step 2: Convert to fraction form
    22.68/34.02 = 7.46/x
  3. Step 3: Cross multiply
    22.68x = 34.02 × 7.46
  4. Step 4: Simplify right side
    22.68x = 253.79
  5. Step 5: Solve for x
    x = 253.79/22.68
  6. Step 6: Final answer
    x = 11.19

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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.