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Finding the Fourth Proportional to 101.06, 151.61 and 36.94

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Solution

The fourth proportional to 101.06, 151.61 and 36.94 is: 55.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.06 : 151.61 = 36.94 : x
  2. Step 2: Convert to fraction form
    101.06/151.61 = 36.94/x
  3. Step 3: Cross multiply
    101.06x = 151.61 × 36.94
  4. Step 4: Simplify right side
    101.06x = 5,599.91
  5. Step 5: Solve for x
    x = 5,599.91/101.06
  6. Step 6: Final answer
    x = 55.41

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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.