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Finding the Fourth Proportional to 90.12, 135.11 and 51.51

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Solution

The fourth proportional to 90.12, 135.11 and 51.51 is: 77.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.12 : 135.11 = 51.51 : x
  2. Step 2: Convert to fraction form
    90.12/135.11 = 51.51/x
  3. Step 3: Cross multiply
    90.12x = 135.11 × 51.51
  4. Step 4: Simplify right side
    90.12x = 6,959.64
  5. Step 5: Solve for x
    x = 6,959.64/90.12
  6. Step 6: Final answer
    x = 77.23

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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.