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Finding the Fourth Proportional to 85.53, 127.74 and 77.39

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Solution

The fourth proportional to 85.53, 127.74 and 77.39 is: 115.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.53 : 127.74 = 77.39 : x
  2. Step 2: Convert to fraction form
    85.53/127.74 = 77.39/x
  3. Step 3: Cross multiply
    85.53x = 127.74 × 77.39
  4. Step 4: Simplify right side
    85.53x = 9,885.93
  5. Step 5: Solve for x
    x = 9,885.93/85.53
  6. Step 6: Final answer
    x = 115.58

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.