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Finding the Fourth Proportional to 135.06, 202.26 and 105.93

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Solution

The fourth proportional to 135.06, 202.26 and 105.93 is: 158.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.06 : 202.26 = 105.93 : x
  2. Step 2: Convert to fraction form
    135.06/202.26 = 105.93/x
  3. Step 3: Cross multiply
    135.06x = 202.26 × 105.93
  4. Step 4: Simplify right side
    135.06x = 21,425.40
  5. Step 5: Solve for x
    x = 21,425.40/135.06
  6. Step 6: Final answer
    x = 158.64

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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.