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Finding the Fourth Proportional to 85.73, 117.48 and 77.53

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Solution

The fourth proportional to 85.73, 117.48 and 77.53 is: 106.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.73 : 117.48 = 77.53 : x
  2. Step 2: Convert to fraction form
    85.73/117.48 = 77.53/x
  3. Step 3: Cross multiply
    85.73x = 117.48 × 77.53
  4. Step 4: Simplify right side
    85.73x = 9,107.64
  5. Step 5: Solve for x
    x = 9,107.64/85.73
  6. Step 6: Final answer
    x = 106.24

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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.