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Finding the Fourth Proportional to 105.91, 158.83 and 90.86

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Solution

The fourth proportional to 105.91, 158.83 and 90.86 is: 136.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.91 : 158.83 = 90.86 : x
  2. Step 2: Convert to fraction form
    105.91/158.83 = 90.86/x
  3. Step 3: Cross multiply
    105.91x = 158.83 × 90.86
  4. Step 4: Simplify right side
    105.91x = 14,430.27
  5. Step 5: Solve for x
    x = 14,430.27/105.91
  6. Step 6: Final answer
    x = 136.25

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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.