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Finding the Fourth Proportional to 11.58, 16.07 and 11.20

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Solution

The fourth proportional to 11.58, 16.07 and 11.20 is: 15.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.58 : 16.07 = 11.20 : x
  2. Step 2: Convert to fraction form
    11.58/16.07 = 11.20/x
  3. Step 3: Cross multiply
    11.58x = 16.07 × 11.20
  4. Step 4: Simplify right side
    11.58x = 179.98
  5. Step 5: Solve for x
    x = 179.98/11.58
  6. Step 6: Final answer
    x = 15.54

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.