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Finding the Fourth Proportional to 101.91, 152.74 and 83.65

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Solution

The fourth proportional to 101.91, 152.74 and 83.65 is: 125.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.91 : 152.74 = 83.65 : x
  2. Step 2: Convert to fraction form
    101.91/152.74 = 83.65/x
  3. Step 3: Cross multiply
    101.91x = 152.74 × 83.65
  4. Step 4: Simplify right side
    101.91x = 12,776.70
  5. Step 5: Solve for x
    x = 12,776.70/101.91
  6. Step 6: Final answer
    x = 125.37

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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.