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Finding the Fourth Proportional to 151.07, 208.24 and 109.49

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Solution

The fourth proportional to 151.07, 208.24 and 109.49 is: 150.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.07 : 208.24 = 109.49 : x
  2. Step 2: Convert to fraction form
    151.07/208.24 = 109.49/x
  3. Step 3: Cross multiply
    151.07x = 208.24 × 109.49
  4. Step 4: Simplify right side
    151.07x = 22,798.88
  5. Step 5: Solve for x
    x = 22,798.88/151.07
  6. Step 6: Final answer
    x = 150.92

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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.