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Finding the Fourth Proportional to 106.16, 158.45 and 94.01

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Solution

The fourth proportional to 106.16, 158.45 and 94.01 is: 140.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.16 : 158.45 = 94.01 : x
  2. Step 2: Convert to fraction form
    106.16/158.45 = 94.01/x
  3. Step 3: Cross multiply
    106.16x = 158.45 × 94.01
  4. Step 4: Simplify right side
    106.16x = 14,894.62
  5. Step 5: Solve for x
    x = 14,894.62/106.16
  6. Step 6: Final answer
    x = 140.31

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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.