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Finding the Fourth Proportional to 17.77, 26.63 and 8.14

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Solution

The fourth proportional to 17.77, 26.63 and 8.14 is: 12.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.77 : 26.63 = 8.14 : x
  2. Step 2: Convert to fraction form
    17.77/26.63 = 8.14/x
  3. Step 3: Cross multiply
    17.77x = 26.63 × 8.14
  4. Step 4: Simplify right side
    17.77x = 216.77
  5. Step 5: Solve for x
    x = 216.77/17.77
  6. Step 6: Final answer
    x = 12.20

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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.