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Finding the Fourth Proportional to 103.05, 142.06 and 87.66

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Solution

The fourth proportional to 103.05, 142.06 and 87.66 is: 120.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.05 : 142.06 = 87.66 : x
  2. Step 2: Convert to fraction form
    103.05/142.06 = 87.66/x
  3. Step 3: Cross multiply
    103.05x = 142.06 × 87.66
  4. Step 4: Simplify right side
    103.05x = 12,452.98
  5. Step 5: Solve for x
    x = 12,452.98/103.05
  6. Step 6: Final answer
    x = 120.84

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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.