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Finding the Fourth Proportional to 101.28, 151.91 and 29.15

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Solution

The fourth proportional to 101.28, 151.91 and 29.15 is: 43.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.28 : 151.91 = 29.15 : x
  2. Step 2: Convert to fraction form
    101.28/151.91 = 29.15/x
  3. Step 3: Cross multiply
    101.28x = 151.91 × 29.15
  4. Step 4: Simplify right side
    101.28x = 4,427.49
  5. Step 5: Solve for x
    x = 4,427.49/101.28
  6. Step 6: Final answer
    x = 43.72

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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.