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Finding the Fourth Proportional to 105.33, 158.00 and 36.86

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Solution

The fourth proportional to 105.33, 158.00 and 36.86 is: 55.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.33 : 158.00 = 36.86 : x
  2. Step 2: Convert to fraction form
    105.33/158.00 = 36.86/x
  3. Step 3: Cross multiply
    105.33x = 158.00 × 36.86
  4. Step 4: Simplify right side
    105.33x = 5,823.77
  5. Step 5: Solve for x
    x = 5,823.77/105.33
  6. Step 6: Final answer
    x = 55.29

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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.