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Finding the Fourth Proportional to 11.60, 15.99 and 11.46

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Solution

The fourth proportional to 11.60, 15.99 and 11.46 is: 15.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.60 : 15.99 = 11.46 : x
  2. Step 2: Convert to fraction form
    11.60/15.99 = 11.46/x
  3. Step 3: Cross multiply
    11.60x = 15.99 × 11.46
  4. Step 4: Simplify right side
    11.60x = 183.25
  5. Step 5: Solve for x
    x = 183.25/11.60
  6. Step 6: Final answer
    x = 15.80

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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.