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Finding the Fourth Proportional to 90.90, 136.14 and 68.01

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Solution

The fourth proportional to 90.90, 136.14 and 68.01 is: 101.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.90 : 136.14 = 68.01 : x
  2. Step 2: Convert to fraction form
    90.90/136.14 = 68.01/x
  3. Step 3: Cross multiply
    90.90x = 136.14 × 68.01
  4. Step 4: Simplify right side
    90.90x = 9,258.88
  5. Step 5: Solve for x
    x = 9,258.88/90.90
  6. Step 6: Final answer
    x = 101.86

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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.