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Finding the Fourth Proportional to 90.18, 135.37 and 69.83

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Solution

The fourth proportional to 90.18, 135.37 and 69.83 is: 104.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.18 : 135.37 = 69.83 : x
  2. Step 2: Convert to fraction form
    90.18/135.37 = 69.83/x
  3. Step 3: Cross multiply
    90.18x = 135.37 × 69.83
  4. Step 4: Simplify right side
    90.18x = 9,452.81
  5. Step 5: Solve for x
    x = 9,452.81/90.18
  6. Step 6: Final answer
    x = 104.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.