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Finding the Fourth Proportional to 101.25, 139.56 and 77.89

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Solution

The fourth proportional to 101.25, 139.56 and 77.89 is: 107.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.25 : 139.56 = 77.89 : x
  2. Step 2: Convert to fraction form
    101.25/139.56 = 77.89/x
  3. Step 3: Cross multiply
    101.25x = 139.56 × 77.89
  4. Step 4: Simplify right side
    101.25x = 10,870.33
  5. Step 5: Solve for x
    x = 10,870.33/101.25
  6. Step 6: Final answer
    x = 107.36

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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.