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Finding the Fourth Proportional to 22.93, 34.40 and 7.71

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Solution

The fourth proportional to 22.93, 34.40 and 7.71 is: 11.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.93 : 34.40 = 7.71 : x
  2. Step 2: Convert to fraction form
    22.93/34.40 = 7.71/x
  3. Step 3: Cross multiply
    22.93x = 34.40 × 7.71
  4. Step 4: Simplify right side
    22.93x = 265.22
  5. Step 5: Solve for x
    x = 265.22/22.93
  6. Step 6: Final answer
    x = 11.57

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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.