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Finding the Fourth Proportional to 89.38, 133.74 and 55.02

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Solution

The fourth proportional to 89.38, 133.74 and 55.02 is: 82.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.38 : 133.74 = 55.02 : x
  2. Step 2: Convert to fraction form
    89.38/133.74 = 55.02/x
  3. Step 3: Cross multiply
    89.38x = 133.74 × 55.02
  4. Step 4: Simplify right side
    89.38x = 7,358.37
  5. Step 5: Solve for x
    x = 7,358.37/89.38
  6. Step 6: Final answer
    x = 82.33

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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.