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Finding the Fourth Proportional to 105.43, 145.20 and 92.31

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Solution

The fourth proportional to 105.43, 145.20 and 92.31 is: 127.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.43 : 145.20 = 92.31 : x
  2. Step 2: Convert to fraction form
    105.43/145.20 = 92.31/x
  3. Step 3: Cross multiply
    105.43x = 145.20 × 92.31
  4. Step 4: Simplify right side
    105.43x = 13,403.41
  5. Step 5: Solve for x
    x = 13,403.41/105.43
  6. Step 6: Final answer
    x = 127.13

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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.