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Finding the Fourth Proportional to 151.15, 208.47 and 92.92

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Solution

The fourth proportional to 151.15, 208.47 and 92.92 is: 128.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.15 : 208.47 = 92.92 : x
  2. Step 2: Convert to fraction form
    151.15/208.47 = 92.92/x
  3. Step 3: Cross multiply
    151.15x = 208.47 × 92.92
  4. Step 4: Simplify right side
    151.15x = 19,371.03
  5. Step 5: Solve for x
    x = 19,371.03/151.15
  6. Step 6: Final answer
    x = 128.16

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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.