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Finding the Fourth Proportional to 135.06, 202.39 and 70.74

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Solution

The fourth proportional to 135.06, 202.39 and 70.74 is: 106.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.06 : 202.39 = 70.74 : x
  2. Step 2: Convert to fraction form
    135.06/202.39 = 70.74/x
  3. Step 3: Cross multiply
    135.06x = 202.39 × 70.74
  4. Step 4: Simplify right side
    135.06x = 14,317.07
  5. Step 5: Solve for x
    x = 14,317.07/135.06
  6. Step 6: Final answer
    x = 106.01

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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.