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Finding the Fourth Proportional to 6.66, 9.18 and 5.94

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Solution

The fourth proportional to 6.66, 9.18 and 5.94 is: 8.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.66 : 9.18 = 5.94 : x
  2. Step 2: Convert to fraction form
    6.66/9.18 = 5.94/x
  3. Step 3: Cross multiply
    6.66x = 9.18 × 5.94
  4. Step 4: Simplify right side
    6.66x = 54.53
  5. Step 5: Solve for x
    x = 54.53/6.66
  6. Step 6: Final answer
    x = 8.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.