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Finding the Fourth Proportional to 18.57, 27.70 and 18

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Solution

The fourth proportional to 18.57, 27.70 and 18 is: 26.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.57 : 27.70 = 18 : x
  2. Step 2: Convert to fraction form
    18.57/27.70 = 18/x
  3. Step 3: Cross multiply
    18.57x = 27.70 × 18
  4. Step 4: Simplify right side
    18.57x = 498.60
  5. Step 5: Solve for x
    x = 498.60/18.57
  6. Step 6: Final answer
    x = 26.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.