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Finding the Fourth Proportional to 77, 115.38 and 68

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Solution

The fourth proportional to 77, 115.38 and 68 is: 101.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    77 : 115.38 = 68 : x
  2. Step 2: Convert to fraction form
    77/115.38 = 68/x
  3. Step 3: Cross multiply
    77x = 115.38 × 68
  4. Step 4: Simplify right side
    77x = 7,845.84
  5. Step 5: Solve for x
    x = 7,845.84/77
  6. Step 6: Final answer
    x = 101.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.