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Finding the Fourth Proportional to 103.74, 142.22 and 102.06

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Solution

The fourth proportional to 103.74, 142.22 and 102.06 is: 139.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.74 : 142.22 = 102.06 : x
  2. Step 2: Convert to fraction form
    103.74/142.22 = 102.06/x
  3. Step 3: Cross multiply
    103.74x = 142.22 × 102.06
  4. Step 4: Simplify right side
    103.74x = 14,514.46
  5. Step 5: Solve for x
    x = 14,514.46/103.74
  6. Step 6: Final answer
    x = 139.91

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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.