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Finding the Fourth Proportional to 36.56, 55.12 and 31.28

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Solution

The fourth proportional to 36.56, 55.12 and 31.28 is: 47.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.56 : 55.12 = 31.28 : x
  2. Step 2: Convert to fraction form
    36.56/55.12 = 31.28/x
  3. Step 3: Cross multiply
    36.56x = 55.12 × 31.28
  4. Step 4: Simplify right side
    36.56x = 1,724.15
  5. Step 5: Solve for x
    x = 1,724.15/36.56
  6. Step 6: Final answer
    x = 47.16

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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.