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Finding the Fourth Proportional to 16.66, 23.00 and 10.11

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Solution

The fourth proportional to 16.66, 23.00 and 10.11 is: 13.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.66 : 23.00 = 10.11 : x
  2. Step 2: Convert to fraction form
    16.66/23.00 = 10.11/x
  3. Step 3: Cross multiply
    16.66x = 23.00 × 10.11
  4. Step 4: Simplify right side
    16.66x = 232.43
  5. Step 5: Solve for x
    x = 232.43/16.66
  6. Step 6: Final answer
    x = 13.95

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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.