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Finding the Fourth Proportional to 36.64, 55.20 and 36.34

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Solution

The fourth proportional to 36.64, 55.20 and 36.34 is: 54.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.64 : 55.20 = 36.34 : x
  2. Step 2: Convert to fraction form
    36.64/55.20 = 36.34/x
  3. Step 3: Cross multiply
    36.64x = 55.20 × 36.34
  4. Step 4: Simplify right side
    36.64x = 2,005.97
  5. Step 5: Solve for x
    x = 2,005.97/36.64
  6. Step 6: Final answer
    x = 54.75

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.