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Finding the Fourth Proportional to 103.46, 142.34 and 84.62

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Solution

The fourth proportional to 103.46, 142.34 and 84.62 is: 116.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.46 : 142.34 = 84.62 : x
  2. Step 2: Convert to fraction form
    103.46/142.34 = 84.62/x
  3. Step 3: Cross multiply
    103.46x = 142.34 × 84.62
  4. Step 4: Simplify right side
    103.46x = 12,044.81
  5. Step 5: Solve for x
    x = 12,044.81/103.46
  6. Step 6: Final answer
    x = 116.42

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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.