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Finding the Fourth Proportional to 90.03, 135.18 and 77.22

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Solution

The fourth proportional to 90.03, 135.18 and 77.22 is: 115.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.03 : 135.18 = 77.22 : x
  2. Step 2: Convert to fraction form
    90.03/135.18 = 77.22/x
  3. Step 3: Cross multiply
    90.03x = 135.18 × 77.22
  4. Step 4: Simplify right side
    90.03x = 10,438.60
  5. Step 5: Solve for x
    x = 10,438.60/90.03
  6. Step 6: Final answer
    x = 115.95

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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.