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Finding the Fourth Proportional to 112.25, 154.82 and 92.66

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Solution

The fourth proportional to 112.25, 154.82 and 92.66 is: 127.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.25 : 154.82 = 92.66 : x
  2. Step 2: Convert to fraction form
    112.25/154.82 = 92.66/x
  3. Step 3: Cross multiply
    112.25x = 154.82 × 92.66
  4. Step 4: Simplify right side
    112.25x = 14,345.08
  5. Step 5: Solve for x
    x = 14,345.08/112.25
  6. Step 6: Final answer
    x = 127.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.