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Finding the Fourth Proportional to 105.54, 158.24 and 36.10

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Solution

The fourth proportional to 105.54, 158.24 and 36.10 is: 54.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.54 : 158.24 = 36.10 : x
  2. Step 2: Convert to fraction form
    105.54/158.24 = 36.10/x
  3. Step 3: Cross multiply
    105.54x = 158.24 × 36.10
  4. Step 4: Simplify right side
    105.54x = 5,712.55
  5. Step 5: Solve for x
    x = 5,712.55/105.54
  6. Step 6: Final answer
    x = 54.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.