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Finding the Fourth Proportional to 27.12, 37.46 and 18.50

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Solution

The fourth proportional to 27.12, 37.46 and 18.50 is: 25.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.12 : 37.46 = 18.50 : x
  2. Step 2: Convert to fraction form
    27.12/37.46 = 18.50/x
  3. Step 3: Cross multiply
    27.12x = 37.46 × 18.50
  4. Step 4: Simplify right side
    27.12x = 693.01
  5. Step 5: Solve for x
    x = 693.01/27.12
  6. Step 6: Final answer
    x = 25.55

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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.