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Finding the Fourth Proportional to 106.12, 158.12 and 101.46

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Solution

The fourth proportional to 106.12, 158.12 and 101.46 is: 151.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.12 : 158.12 = 101.46 : x
  2. Step 2: Convert to fraction form
    106.12/158.12 = 101.46/x
  3. Step 3: Cross multiply
    106.12x = 158.12 × 101.46
  4. Step 4: Simplify right side
    106.12x = 16,042.35
  5. Step 5: Solve for x
    x = 16,042.35/106.12
  6. Step 6: Final answer
    x = 151.17

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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.