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Finding the Fourth Proportional to 106.68, 158.82 and 106.14

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Solution

The fourth proportional to 106.68, 158.82 and 106.14 is: 158.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.68 : 158.82 = 106.14 : x
  2. Step 2: Convert to fraction form
    106.68/158.82 = 106.14/x
  3. Step 3: Cross multiply
    106.68x = 158.82 × 106.14
  4. Step 4: Simplify right side
    106.68x = 16,857.15
  5. Step 5: Solve for x
    x = 16,857.15/106.68
  6. Step 6: Final answer
    x = 158.02

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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.