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Finding the Fourth Proportional to 90.26, 135.85 and 67.56

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Solution

The fourth proportional to 90.26, 135.85 and 67.56 is: 101.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.26 : 135.85 = 67.56 : x
  2. Step 2: Convert to fraction form
    90.26/135.85 = 67.56/x
  3. Step 3: Cross multiply
    90.26x = 135.85 × 67.56
  4. Step 4: Simplify right side
    90.26x = 9,177.01
  5. Step 5: Solve for x
    x = 9,177.01/90.26
  6. Step 6: Final answer
    x = 101.67

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.