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Finding the Fourth Proportional to 27.07, 40.61 and 13.34

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Solution

The fourth proportional to 27.07, 40.61 and 13.34 is: 20.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.07 : 40.61 = 13.34 : x
  2. Step 2: Convert to fraction form
    27.07/40.61 = 13.34/x
  3. Step 3: Cross multiply
    27.07x = 40.61 × 13.34
  4. Step 4: Simplify right side
    27.07x = 541.87
  5. Step 5: Solve for x
    x = 541.87/27.07
  6. Step 6: Final answer
    x = 20.02

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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.