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Finding the Fourth Proportional to 18.53, 27.77 and 7.11

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Solution

The fourth proportional to 18.53, 27.77 and 7.11 is: 10.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.53 : 27.77 = 7.11 : x
  2. Step 2: Convert to fraction form
    18.53/27.77 = 7.11/x
  3. Step 3: Cross multiply
    18.53x = 27.77 × 7.11
  4. Step 4: Simplify right side
    18.53x = 197.46
  5. Step 5: Solve for x
    x = 197.46/18.53
  6. Step 6: Final answer
    x = 10.66

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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.