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Finding the Fourth Proportional to 107.42, 159.99 and 100.76

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Solution

The fourth proportional to 107.42, 159.99 and 100.76 is: 150.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.42 : 159.99 = 100.76 : x
  2. Step 2: Convert to fraction form
    107.42/159.99 = 100.76/x
  3. Step 3: Cross multiply
    107.42x = 159.99 × 100.76
  4. Step 4: Simplify right side
    107.42x = 16,120.59
  5. Step 5: Solve for x
    x = 16,120.59/107.42
  6. Step 6: Final answer
    x = 150.07

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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.