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Finding the Fourth Proportional to 36.28, 54.10 and 31.24

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Solution

The fourth proportional to 36.28, 54.10 and 31.24 is: 46.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.28 : 54.10 = 31.24 : x
  2. Step 2: Convert to fraction form
    36.28/54.10 = 31.24/x
  3. Step 3: Cross multiply
    36.28x = 54.10 × 31.24
  4. Step 4: Simplify right side
    36.28x = 1,690.08
  5. Step 5: Solve for x
    x = 1,690.08/36.28
  6. Step 6: Final answer
    x = 46.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.