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Finding the Fourth Proportional to 107.21, 159.53 and 106.85

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Solution

The fourth proportional to 107.21, 159.53 and 106.85 is: 158.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.21 : 159.53 = 106.85 : x
  2. Step 2: Convert to fraction form
    107.21/159.53 = 106.85/x
  3. Step 3: Cross multiply
    107.21x = 159.53 × 106.85
  4. Step 4: Simplify right side
    107.21x = 17,045.78
  5. Step 5: Solve for x
    x = 17,045.78/107.21
  6. Step 6: Final answer
    x = 158.99

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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.