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Finding the Fourth Proportional to 27.02, 40.54 and 6.74

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Solution

The fourth proportional to 27.02, 40.54 and 6.74 is: 10.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.02 : 40.54 = 6.74 : x
  2. Step 2: Convert to fraction form
    27.02/40.54 = 6.74/x
  3. Step 3: Cross multiply
    27.02x = 40.54 × 6.74
  4. Step 4: Simplify right side
    27.02x = 273.02
  5. Step 5: Solve for x
    x = 273.02/27.02
  6. Step 6: Final answer
    x = 10.10

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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.