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Finding the Fourth Proportional to 100.56, 138.88 and 81.30

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Solution

The fourth proportional to 100.56, 138.88 and 81.30 is: 112.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.56 : 138.88 = 81.30 : x
  2. Step 2: Convert to fraction form
    100.56/138.88 = 81.30/x
  3. Step 3: Cross multiply
    100.56x = 138.88 × 81.30
  4. Step 4: Simplify right side
    100.56x = 11,290.94
  5. Step 5: Solve for x
    x = 11,290.94/100.56
  6. Step 6: Final answer
    x = 112.28

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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.