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Finding the Fourth Proportional to 106.79, 159.98 and 55.37

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Solution

The fourth proportional to 106.79, 159.98 and 55.37 is: 82.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.79 : 159.98 = 55.37 : x
  2. Step 2: Convert to fraction form
    106.79/159.98 = 55.37/x
  3. Step 3: Cross multiply
    106.79x = 159.98 × 55.37
  4. Step 4: Simplify right side
    106.79x = 8,857.02
  5. Step 5: Solve for x
    x = 8,857.02/106.79
  6. Step 6: Final answer
    x = 82.94

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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.