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Finding the Fourth Proportional to 107.11, 159.74 and 90.96

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Solution

The fourth proportional to 107.11, 159.74 and 90.96 is: 135.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.11 : 159.74 = 90.96 : x
  2. Step 2: Convert to fraction form
    107.11/159.74 = 90.96/x
  3. Step 3: Cross multiply
    107.11x = 159.74 × 90.96
  4. Step 4: Simplify right side
    107.11x = 14,529.95
  5. Step 5: Solve for x
    x = 14,529.95/107.11
  6. Step 6: Final answer
    x = 135.65

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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.