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Finding the Fourth Proportional to 106.59, 146.29 and 94.66

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Solution

The fourth proportional to 106.59, 146.29 and 94.66 is: 129.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.59 : 146.29 = 94.66 : x
  2. Step 2: Convert to fraction form
    106.59/146.29 = 94.66/x
  3. Step 3: Cross multiply
    106.59x = 146.29 × 94.66
  4. Step 4: Simplify right side
    106.59x = 13,847.81
  5. Step 5: Solve for x
    x = 13,847.81/106.59
  6. Step 6: Final answer
    x = 129.92

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.