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Finding the Fourth Proportional to 104.09, 155.90 and 75.11

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Solution

The fourth proportional to 104.09, 155.90 and 75.11 is: 112.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.09 : 155.90 = 75.11 : x
  2. Step 2: Convert to fraction form
    104.09/155.90 = 75.11/x
  3. Step 3: Cross multiply
    104.09x = 155.90 × 75.11
  4. Step 4: Simplify right side
    104.09x = 11,710.23
  5. Step 5: Solve for x
    x = 11,710.23/104.09
  6. Step 6: Final answer
    x = 112.50

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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.