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Finding the Fourth Proportional to 90.55, 135.11 and 81.84

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Solution

The fourth proportional to 90.55, 135.11 and 81.84 is: 122.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.55 : 135.11 = 81.84 : x
  2. Step 2: Convert to fraction form
    90.55/135.11 = 81.84/x
  3. Step 3: Cross multiply
    90.55x = 135.11 × 81.84
  4. Step 4: Simplify right side
    90.55x = 11,056.99
  5. Step 5: Solve for x
    x = 11,056.99/90.55
  6. Step 6: Final answer
    x = 122.12

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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.