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Finding the Fourth Proportional to 101.65, 152.27 and 83.39

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Solution

The fourth proportional to 101.65, 152.27 and 83.39 is: 124.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.65 : 152.27 = 83.39 : x
  2. Step 2: Convert to fraction form
    101.65/152.27 = 83.39/x
  3. Step 3: Cross multiply
    101.65x = 152.27 × 83.39
  4. Step 4: Simplify right side
    101.65x = 12,697.80
  5. Step 5: Solve for x
    x = 12,697.80/101.65
  6. Step 6: Final answer
    x = 124.92

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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.