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Finding the Fourth Proportional to 103.42, 142.86 and 83.98

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Solution

The fourth proportional to 103.42, 142.86 and 83.98 is: 116.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.42 : 142.86 = 83.98 : x
  2. Step 2: Convert to fraction form
    103.42/142.86 = 83.98/x
  3. Step 3: Cross multiply
    103.42x = 142.86 × 83.98
  4. Step 4: Simplify right side
    103.42x = 11,997.38
  5. Step 5: Solve for x
    x = 11,997.38/103.42
  6. Step 6: Final answer
    x = 116.01

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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.