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Finding the Fourth Proportional to 150.72, 208.08 and 106.44

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Solution

The fourth proportional to 150.72, 208.08 and 106.44 is: 146.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.72 : 208.08 = 106.44 : x
  2. Step 2: Convert to fraction form
    150.72/208.08 = 106.44/x
  3. Step 3: Cross multiply
    150.72x = 208.08 × 106.44
  4. Step 4: Simplify right side
    150.72x = 22,148.04
  5. Step 5: Solve for x
    x = 22,148.04/150.72
  6. Step 6: Final answer
    x = 146.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.