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Finding the Fourth Proportional to 18.74, 25.86 and 10.55

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Solution

The fourth proportional to 18.74, 25.86 and 10.55 is: 14.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.74 : 25.86 = 10.55 : x
  2. Step 2: Convert to fraction form
    18.74/25.86 = 10.55/x
  3. Step 3: Cross multiply
    18.74x = 25.86 × 10.55
  4. Step 4: Simplify right side
    18.74x = 272.82
  5. Step 5: Solve for x
    x = 272.82/18.74
  6. Step 6: Final answer
    x = 14.56

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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.