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Finding the Fourth Proportional to 106.14, 146.35 and 79.93

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Solution

The fourth proportional to 106.14, 146.35 and 79.93 is: 110.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.14 : 146.35 = 79.93 : x
  2. Step 2: Convert to fraction form
    106.14/146.35 = 79.93/x
  3. Step 3: Cross multiply
    106.14x = 146.35 × 79.93
  4. Step 4: Simplify right side
    106.14x = 11,697.76
  5. Step 5: Solve for x
    x = 11,697.76/106.14
  6. Step 6: Final answer
    x = 110.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.