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Finding the Fourth Proportional to 103.56, 142.80 and 81.66

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Solution

The fourth proportional to 103.56, 142.80 and 81.66 is: 112.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.56 : 142.80 = 81.66 : x
  2. Step 2: Convert to fraction form
    103.56/142.80 = 81.66/x
  3. Step 3: Cross multiply
    103.56x = 142.80 × 81.66
  4. Step 4: Simplify right side
    103.56x = 11,661.05
  5. Step 5: Solve for x
    x = 11,661.05/103.56
  6. Step 6: Final answer
    x = 112.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.