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Finding the Fourth Proportional to 101.54, 138.84 and 97.76

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Solution

The fourth proportional to 101.54, 138.84 and 97.76 is: 133.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.54 : 138.84 = 97.76 : x
  2. Step 2: Convert to fraction form
    101.54/138.84 = 97.76/x
  3. Step 3: Cross multiply
    101.54x = 138.84 × 97.76
  4. Step 4: Simplify right side
    101.54x = 13,573.00
  5. Step 5: Solve for x
    x = 13,573.00/101.54
  6. Step 6: Final answer
    x = 133.67

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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.