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Finding the Fourth Proportional to 147.73, 203.74 and 103.45

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Solution

The fourth proportional to 147.73, 203.74 and 103.45 is: 142.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.73 : 203.74 = 103.45 : x
  2. Step 2: Convert to fraction form
    147.73/203.74 = 103.45/x
  3. Step 3: Cross multiply
    147.73x = 203.74 × 103.45
  4. Step 4: Simplify right side
    147.73x = 21,076.90
  5. Step 5: Solve for x
    x = 21,076.90/147.73
  6. Step 6: Final answer
    x = 142.68

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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.