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Finding the Fourth Proportional to 36.54, 54.36 and 35.10

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Solution

The fourth proportional to 36.54, 54.36 and 35.10 is: 52.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.54 : 54.36 = 35.10 : x
  2. Step 2: Convert to fraction form
    36.54/54.36 = 35.10/x
  3. Step 3: Cross multiply
    36.54x = 54.36 × 35.10
  4. Step 4: Simplify right side
    36.54x = 1,908.04
  5. Step 5: Solve for x
    x = 1,908.04/36.54
  6. Step 6: Final answer
    x = 52.22

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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.