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Finding the Fourth Proportional to 147.92, 203.96 and 106.43

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Solution

The fourth proportional to 147.92, 203.96 and 106.43 is: 146.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.92 : 203.96 = 106.43 : x
  2. Step 2: Convert to fraction form
    147.92/203.96 = 106.43/x
  3. Step 3: Cross multiply
    147.92x = 203.96 × 106.43
  4. Step 4: Simplify right side
    147.92x = 21,706.71
  5. Step 5: Solve for x
    x = 21,706.71/147.92
  6. Step 6: Final answer
    x = 146.75

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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.