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Finding the Fourth Proportional to 85.87, 118.46 and 56.37

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Solution

The fourth proportional to 85.87, 118.46 and 56.37 is: 77.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.87 : 118.46 = 56.37 : x
  2. Step 2: Convert to fraction form
    85.87/118.46 = 56.37/x
  3. Step 3: Cross multiply
    85.87x = 118.46 × 56.37
  4. Step 4: Simplify right side
    85.87x = 6,677.59
  5. Step 5: Solve for x
    x = 6,677.59/85.87
  6. Step 6: Final answer
    x = 77.77

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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.