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Finding the Fourth Proportional to 7.71, 11.52 and 5.91

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Solution

The fourth proportional to 7.71, 11.52 and 5.91 is: 8.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.71 : 11.52 = 5.91 : x
  2. Step 2: Convert to fraction form
    7.71/11.52 = 5.91/x
  3. Step 3: Cross multiply
    7.71x = 11.52 × 5.91
  4. Step 4: Simplify right side
    7.71x = 68.08
  5. Step 5: Solve for x
    x = 68.08/7.71
  6. Step 6: Final answer
    x = 8.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.