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Finding the Fourth Proportional to 106.34, 158.60 and 94.79

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Solution

The fourth proportional to 106.34, 158.60 and 94.79 is: 141.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.34 : 158.60 = 94.79 : x
  2. Step 2: Convert to fraction form
    106.34/158.60 = 94.79/x
  3. Step 3: Cross multiply
    106.34x = 158.60 × 94.79
  4. Step 4: Simplify right side
    106.34x = 15,032.43
  5. Step 5: Solve for x
    x = 15,032.43/106.34
  6. Step 6: Final answer
    x = 141.37

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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.