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Finding the Fourth Proportional to 90.64, 136.01 and 83.75

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Solution

The fourth proportional to 90.64, 136.01 and 83.75 is: 125.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.64 : 136.01 = 83.75 : x
  2. Step 2: Convert to fraction form
    90.64/136.01 = 83.75/x
  3. Step 3: Cross multiply
    90.64x = 136.01 × 83.75
  4. Step 4: Simplify right side
    90.64x = 11,390.84
  5. Step 5: Solve for x
    x = 11,390.84/90.64
  6. Step 6: Final answer
    x = 125.67

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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.