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Finding the Fourth Proportional to 147.43, 203.16 and 103.69

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Solution

The fourth proportional to 147.43, 203.16 and 103.69 is: 142.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.43 : 203.16 = 103.69 : x
  2. Step 2: Convert to fraction form
    147.43/203.16 = 103.69/x
  3. Step 3: Cross multiply
    147.43x = 203.16 × 103.69
  4. Step 4: Simplify right side
    147.43x = 21,065.66
  5. Step 5: Solve for x
    x = 21,065.66/147.43
  6. Step 6: Final answer
    x = 142.89

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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.