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Finding the Fourth Proportional to 103.61, 142.94 and 83.12

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Solution

The fourth proportional to 103.61, 142.94 and 83.12 is: 114.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.61 : 142.94 = 83.12 : x
  2. Step 2: Convert to fraction form
    103.61/142.94 = 83.12/x
  3. Step 3: Cross multiply
    103.61x = 142.94 × 83.12
  4. Step 4: Simplify right side
    103.61x = 11,880.67
  5. Step 5: Solve for x
    x = 11,880.67/103.61
  6. Step 6: Final answer
    x = 114.66

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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.