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Finding the Fourth Proportional to 107.95, 160.82 and 104.08

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Solution

The fourth proportional to 107.95, 160.82 and 104.08 is: 155.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.95 : 160.82 = 104.08 : x
  2. Step 2: Convert to fraction form
    107.95/160.82 = 104.08/x
  3. Step 3: Cross multiply
    107.95x = 160.82 × 104.08
  4. Step 4: Simplify right side
    107.95x = 16,738.15
  5. Step 5: Solve for x
    x = 16,738.15/107.95
  6. Step 6: Final answer
    x = 155.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.