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Finding the Fourth Proportional to 151.14, 208.57 and 82.14

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Solution

The fourth proportional to 151.14, 208.57 and 82.14 is: 113.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.14 : 208.57 = 82.14 : x
  2. Step 2: Convert to fraction form
    151.14/208.57 = 82.14/x
  3. Step 3: Cross multiply
    151.14x = 208.57 × 82.14
  4. Step 4: Simplify right side
    151.14x = 17,132.51
  5. Step 5: Solve for x
    x = 17,132.51/151.14
  6. Step 6: Final answer
    x = 113.35

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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.