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Finding the Fourth Proportional to 101.12, 138.49 and 97.88

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Solution

The fourth proportional to 101.12, 138.49 and 97.88 is: 134.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.12 : 138.49 = 97.88 : x
  2. Step 2: Convert to fraction form
    101.12/138.49 = 97.88/x
  3. Step 3: Cross multiply
    101.12x = 138.49 × 97.88
  4. Step 4: Simplify right side
    101.12x = 13,555.40
  5. Step 5: Solve for x
    x = 13,555.40/101.12
  6. Step 6: Final answer
    x = 134.05

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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.