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Finding the Fourth Proportional to 103.66, 142.11 and 101.84

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Solution

The fourth proportional to 103.66, 142.11 and 101.84 is: 139.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.66 : 142.11 = 101.84 : x
  2. Step 2: Convert to fraction form
    103.66/142.11 = 101.84/x
  3. Step 3: Cross multiply
    103.66x = 142.11 × 101.84
  4. Step 4: Simplify right side
    103.66x = 14,472.48
  5. Step 5: Solve for x
    x = 14,472.48/103.66
  6. Step 6: Final answer
    x = 139.61

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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.