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Finding the Fourth Proportional to 6.66, 10.00 and 5.77

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Solution

The fourth proportional to 6.66, 10.00 and 5.77 is: 8.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.66 : 10.00 = 5.77 : x
  2. Step 2: Convert to fraction form
    6.66/10.00 = 5.77/x
  3. Step 3: Cross multiply
    6.66x = 10.00 × 5.77
  4. Step 4: Simplify right side
    6.66x = 57.69
  5. Step 5: Solve for x
    x = 57.69/6.66
  6. Step 6: Final answer
    x = 8.66

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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.