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Finding the Fourth Proportional to 135.40, 202.89 and 89.78

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Solution

The fourth proportional to 135.40, 202.89 and 89.78 is: 134.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.40 : 202.89 = 89.78 : x
  2. Step 2: Convert to fraction form
    135.40/202.89 = 89.78/x
  3. Step 3: Cross multiply
    135.40x = 202.89 × 89.78
  4. Step 4: Simplify right side
    135.40x = 18,215.46
  5. Step 5: Solve for x
    x = 18,215.46/135.40
  6. Step 6: Final answer
    x = 134.53

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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.