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Finding the Fourth Proportional to 135.39, 202.86 and 106.69

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Solution

The fourth proportional to 135.39, 202.86 and 106.69 is: 159.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.39 : 202.86 = 106.69 : x
  2. Step 2: Convert to fraction form
    135.39/202.86 = 106.69/x
  3. Step 3: Cross multiply
    135.39x = 202.86 × 106.69
  4. Step 4: Simplify right side
    135.39x = 21,643.13
  5. Step 5: Solve for x
    x = 21,643.13/135.39
  6. Step 6: Final answer
    x = 159.85

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