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Finding the Fourth Proportional to 11.60, 16.02 and 11.42

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Solution

The fourth proportional to 11.60, 16.02 and 11.42 is: 15.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.60 : 16.02 = 11.42 : x
  2. Step 2: Convert to fraction form
    11.60/16.02 = 11.42/x
  3. Step 3: Cross multiply
    11.60x = 16.02 × 11.42
  4. Step 4: Simplify right side
    11.60x = 182.95
  5. Step 5: Solve for x
    x = 182.95/11.60
  6. Step 6: Final answer
    x = 15.77

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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.