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Finding the Fourth Proportional to 106.34, 158.27 and 105.70

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Solution

The fourth proportional to 106.34, 158.27 and 105.70 is: 157.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.34 : 158.27 = 105.70 : x
  2. Step 2: Convert to fraction form
    106.34/158.27 = 105.70/x
  3. Step 3: Cross multiply
    106.34x = 158.27 × 105.70
  4. Step 4: Simplify right side
    106.34x = 16,728.61
  5. Step 5: Solve for x
    x = 16,728.61/106.34
  6. Step 6: Final answer
    x = 157.31

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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.