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Finding the Fourth Proportional to 107.87, 160.64 and 100.95

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Solution

The fourth proportional to 107.87, 160.64 and 100.95 is: 150.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.87 : 160.64 = 100.95 : x
  2. Step 2: Convert to fraction form
    107.87/160.64 = 100.95/x
  3. Step 3: Cross multiply
    107.87x = 160.64 × 100.95
  4. Step 4: Simplify right side
    107.87x = 16,216.61
  5. Step 5: Solve for x
    x = 16,216.61/107.87
  6. Step 6: Final answer
    x = 150.33

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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.