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Finding the Fourth Proportional to 151.13, 208.56 and 83.84

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Solution

The fourth proportional to 151.13, 208.56 and 83.84 is: 115.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.13 : 208.56 = 83.84 : x
  2. Step 2: Convert to fraction form
    151.13/208.56 = 83.84/x
  3. Step 3: Cross multiply
    151.13x = 208.56 × 83.84
  4. Step 4: Simplify right side
    151.13x = 17,485.15
  5. Step 5: Solve for x
    x = 17,485.15/151.13
  6. Step 6: Final answer
    x = 115.70

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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.