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Finding the Fourth Proportional to 101.40, 138.86 and 98.52

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Solution

The fourth proportional to 101.40, 138.86 and 98.52 is: 134.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.40 : 138.86 = 98.52 : x
  2. Step 2: Convert to fraction form
    101.40/138.86 = 98.52/x
  3. Step 3: Cross multiply
    101.40x = 138.86 × 98.52
  4. Step 4: Simplify right side
    101.40x = 13,679.99
  5. Step 5: Solve for x
    x = 13,679.99/101.40
  6. Step 6: Final answer
    x = 134.91

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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.