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Finding the Fourth Proportional to 105.63, 146.14 and 92.50

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Solution

The fourth proportional to 105.63, 146.14 and 92.50 is: 127.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.63 : 146.14 = 92.50 : x
  2. Step 2: Convert to fraction form
    105.63/146.14 = 92.50/x
  3. Step 3: Cross multiply
    105.63x = 146.14 × 92.50
  4. Step 4: Simplify right side
    105.63x = 13,517.95
  5. Step 5: Solve for x
    x = 13,517.95/105.63
  6. Step 6: Final answer
    x = 127.97

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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.