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Finding the Fourth Proportional to 147, 202.86 and 103.44

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Solution

The fourth proportional to 147, 202.86 and 103.44 is: 142.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    147 : 202.86 = 103.44 : x
  2. Step 2: Convert to fraction form
    147/202.86 = 103.44/x
  3. Step 3: Cross multiply
    147x = 202.86 × 103.44
  4. Step 4: Simplify right side
    147x = 20,983.84
  5. Step 5: Solve for x
    x = 20,983.84/147
  6. Step 6: Final answer
    x = 142.75

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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.