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Finding the Fourth Proportional to 100.06, 149.70 and 90.94

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Solution

The fourth proportional to 100.06, 149.70 and 90.94 is: 136.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.06 : 149.70 = 90.94 : x
  2. Step 2: Convert to fraction form
    100.06/149.70 = 90.94/x
  3. Step 3: Cross multiply
    100.06x = 149.70 × 90.94
  4. Step 4: Simplify right side
    100.06x = 13,613.72
  5. Step 5: Solve for x
    x = 13,613.72/100.06
  6. Step 6: Final answer
    x = 136.06

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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.