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Finding the Fourth Proportional to 36.78, 55.17 and 11.10

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Solution

The fourth proportional to 36.78, 55.17 and 11.10 is: 16.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.78 : 55.17 = 11.10 : x
  2. Step 2: Convert to fraction form
    36.78/55.17 = 11.10/x
  3. Step 3: Cross multiply
    36.78x = 55.17 × 11.10
  4. Step 4: Simplify right side
    36.78x = 612.08
  5. Step 5: Solve for x
    x = 612.08/36.78
  6. Step 6: Final answer
    x = 16.64

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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.