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Finding the Fourth Proportional to 106.58, 160.04 and 83.77

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Solution

The fourth proportional to 106.58, 160.04 and 83.77 is: 125.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.58 : 160.04 = 83.77 : x
  2. Step 2: Convert to fraction form
    106.58/160.04 = 83.77/x
  3. Step 3: Cross multiply
    106.58x = 160.04 × 83.77
  4. Step 4: Simplify right side
    106.58x = 13,406.36
  5. Step 5: Solve for x
    x = 13,406.36/106.58
  6. Step 6: Final answer
    x = 125.78

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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.