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Finding the Fourth Proportional to 23.15, 31.86 and 19.67

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Solution

The fourth proportional to 23.15, 31.86 and 19.67 is: 27.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.15 : 31.86 = 19.67 : x
  2. Step 2: Convert to fraction form
    23.15/31.86 = 19.67/x
  3. Step 3: Cross multiply
    23.15x = 31.86 × 19.67
  4. Step 4: Simplify right side
    23.15x = 626.53
  5. Step 5: Solve for x
    x = 626.53/23.15
  6. Step 6: Final answer
    x = 27.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.