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Finding the Fourth Proportional to 101.81, 152.77 and 44.05

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Solution

The fourth proportional to 101.81, 152.77 and 44.05 is: 66.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.81 : 152.77 = 44.05 : x
  2. Step 2: Convert to fraction form
    101.81/152.77 = 44.05/x
  3. Step 3: Cross multiply
    101.81x = 152.77 × 44.05
  4. Step 4: Simplify right side
    101.81x = 6,729.03
  5. Step 5: Solve for x
    x = 6,729.03/101.81
  6. Step 6: Final answer
    x = 66.09

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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.