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Finding the Fourth Proportional to 151.03, 208.17 and 101.82

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Solution

The fourth proportional to 151.03, 208.17 and 101.82 is: 140.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.03 : 208.17 = 101.82 : x
  2. Step 2: Convert to fraction form
    151.03/208.17 = 101.82/x
  3. Step 3: Cross multiply
    151.03x = 208.17 × 101.82
  4. Step 4: Simplify right side
    151.03x = 21,195.77
  5. Step 5: Solve for x
    x = 21,195.77/151.03
  6. Step 6: Final answer
    x = 140.35

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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.