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Finding the Fourth Proportional to 105.30, 157.67 and 83.70

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Solution

The fourth proportional to 105.30, 157.67 and 83.70 is: 125.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.30 : 157.67 = 83.70 : x
  2. Step 2: Convert to fraction form
    105.30/157.67 = 83.70/x
  3. Step 3: Cross multiply
    105.30x = 157.67 × 83.70
  4. Step 4: Simplify right side
    105.30x = 13,196.98
  5. Step 5: Solve for x
    x = 13,196.98/105.30
  6. Step 6: Final answer
    x = 125.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.