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Finding the Fourth Proportional to 85.77, 117.50 and 84.60

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Solution

The fourth proportional to 85.77, 117.50 and 84.60 is: 115.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.77 : 117.50 = 84.60 : x
  2. Step 2: Convert to fraction form
    85.77/117.50 = 84.60/x
  3. Step 3: Cross multiply
    85.77x = 117.50 × 84.60
  4. Step 4: Simplify right side
    85.77x = 9,940.08
  5. Step 5: Solve for x
    x = 9,940.08/85.77
  6. Step 6: Final answer
    x = 115.89

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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.