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Finding the Fourth Proportional to 18.77, 28.13 and 9.14

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Solution

The fourth proportional to 18.77, 28.13 and 9.14 is: 13.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.77 : 28.13 = 9.14 : x
  2. Step 2: Convert to fraction form
    18.77/28.13 = 9.14/x
  3. Step 3: Cross multiply
    18.77x = 28.13 × 9.14
  4. Step 4: Simplify right side
    18.77x = 257.11
  5. Step 5: Solve for x
    x = 257.11/18.77
  6. Step 6: Final answer
    x = 13.70

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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.