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Finding the Fourth Proportional to 11.60, 16 and 11.12

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Solution

The fourth proportional to 11.60, 16 and 11.12 is: 15.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.60 : 16 = 11.12 : x
  2. Step 2: Convert to fraction form
    11.60/16 = 11.12/x
  3. Step 3: Cross multiply
    11.60x = 16 × 11.12
  4. Step 4: Simplify right side
    11.60x = 177.92
  5. Step 5: Solve for x
    x = 177.92/11.60
  6. Step 6: Final answer
    x = 15.34

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1.5x scale

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.