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Finding the Fourth Proportional to 90.08, 134.38 and 76.64

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Solution

The fourth proportional to 90.08, 134.38 and 76.64 is: 114.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.08 : 134.38 = 76.64 : x
  2. Step 2: Convert to fraction form
    90.08/134.38 = 76.64/x
  3. Step 3: Cross multiply
    90.08x = 134.38 × 76.64
  4. Step 4: Simplify right side
    90.08x = 10,298.88
  5. Step 5: Solve for x
    x = 10,298.88/90.08
  6. Step 6: Final answer
    x = 114.33

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.