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Finding the Fourth Proportional to 103.69, 142.09 and 99.91

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Solution

The fourth proportional to 103.69, 142.09 and 99.91 is: 136.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.69 : 142.09 = 99.91 : x
  2. Step 2: Convert to fraction form
    103.69/142.09 = 99.91/x
  3. Step 3: Cross multiply
    103.69x = 142.09 × 99.91
  4. Step 4: Simplify right side
    103.69x = 14,196.21
  5. Step 5: Solve for x
    x = 14,196.21/103.69
  6. Step 6: Final answer
    x = 136.91

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.