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Finding the Fourth Proportional to 15.87, 23.70 and 12.66

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Solution

The fourth proportional to 15.87, 23.70 and 12.66 is: 18.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.87 : 23.70 = 12.66 : x
  2. Step 2: Convert to fraction form
    15.87/23.70 = 12.66/x
  3. Step 3: Cross multiply
    15.87x = 23.70 × 12.66
  4. Step 4: Simplify right side
    15.87x = 300.15
  5. Step 5: Solve for x
    x = 300.15/15.87
  6. Step 6: Final answer
    x = 18.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.