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Finding the Fourth Proportional to 101.26, 151.88 and 40.33

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Solution

The fourth proportional to 101.26, 151.88 and 40.33 is: 60.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.26 : 151.88 = 40.33 : x
  2. Step 2: Convert to fraction form
    101.26/151.88 = 40.33/x
  3. Step 3: Cross multiply
    101.26x = 151.88 × 40.33
  4. Step 4: Simplify right side
    101.26x = 6,124.74
  5. Step 5: Solve for x
    x = 6,124.74/101.26
  6. Step 6: Final answer
    x = 60.49

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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.