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Finding the Fourth Proportional to 15.86, 23.83 and 15.11

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Solution

The fourth proportional to 15.86, 23.83 and 15.11 is: 22.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.86 : 23.83 = 15.11 : x
  2. Step 2: Convert to fraction form
    15.86/23.83 = 15.11/x
  3. Step 3: Cross multiply
    15.86x = 23.83 × 15.11
  4. Step 4: Simplify right side
    15.86x = 360.06
  5. Step 5: Solve for x
    x = 360.06/15.86
  6. Step 6: Final answer
    x = 22.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.