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Finding the Fourth Proportional to 147.86, 204.12 and 103.58

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Solution

The fourth proportional to 147.86, 204.12 and 103.58 is: 142.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.86 : 204.12 = 103.58 : x
  2. Step 2: Convert to fraction form
    147.86/204.12 = 103.58/x
  3. Step 3: Cross multiply
    147.86x = 204.12 × 103.58
  4. Step 4: Simplify right side
    147.86x = 21,141.73
  5. Step 5: Solve for x
    x = 21,141.73/147.86
  6. Step 6: Final answer
    x = 142.99

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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.