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Finding the Fourth Proportional to 6.66, 10.11 and 6.63

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Solution

The fourth proportional to 6.66, 10.11 and 6.63 is: 10.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.66 : 10.11 = 6.63 : x
  2. Step 2: Convert to fraction form
    6.66/10.11 = 6.63/x
  3. Step 3: Cross multiply
    6.66x = 10.11 × 6.63
  4. Step 4: Simplify right side
    6.66x = 67.03
  5. Step 5: Solve for x
    x = 67.03/6.66
  6. Step 6: Final answer
    x = 10.06

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.