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Finding the Fourth Proportional to 105.80, 146.16 and 92

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Solution

The fourth proportional to 105.80, 146.16 and 92 is: 127.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.80 : 146.16 = 92 : x
  2. Step 2: Convert to fraction form
    105.80/146.16 = 92/x
  3. Step 3: Cross multiply
    105.80x = 146.16 × 92
  4. Step 4: Simplify right side
    105.80x = 13,446.72
  5. Step 5: Solve for x
    x = 13,446.72/105.80
  6. Step 6: Final answer
    x = 127.10

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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.