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Finding the Fourth Proportional to 7.66, 11.48 and 5.77

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Solution

The fourth proportional to 7.66, 11.48 and 5.77 is: 8.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.66 : 11.48 = 5.77 : x
  2. Step 2: Convert to fraction form
    7.66/11.48 = 5.77/x
  3. Step 3: Cross multiply
    7.66x = 11.48 × 5.77
  4. Step 4: Simplify right side
    7.66x = 66.24
  5. Step 5: Solve for x
    x = 66.24/7.66
  6. Step 6: Final answer
    x = 8.65

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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.