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Finding the Fourth Proportional to 147.40, 203.42 and 81.91

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Solution

The fourth proportional to 147.40, 203.42 and 81.91 is: 113.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.40 : 203.42 = 81.91 : x
  2. Step 2: Convert to fraction form
    147.40/203.42 = 81.91/x
  3. Step 3: Cross multiply
    147.40x = 203.42 × 81.91
  4. Step 4: Simplify right side
    147.40x = 16,662.13
  5. Step 5: Solve for x
    x = 16,662.13/147.40
  6. Step 6: Final answer
    x = 113.04

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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.