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Finding the Fourth Proportional to 151.20, 208.60 and 111.76

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Solution

The fourth proportional to 151.20, 208.60 and 111.76 is: 154.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.20 : 208.60 = 111.76 : x
  2. Step 2: Convert to fraction form
    151.20/208.60 = 111.76/x
  3. Step 3: Cross multiply
    151.20x = 208.60 × 111.76
  4. Step 4: Simplify right side
    151.20x = 23,313.14
  5. Step 5: Solve for x
    x = 23,313.14/151.20
  6. Step 6: Final answer
    x = 154.19

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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.