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Finding the Fourth Proportional to 85.00, 117.34 and 50.02

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Solution

The fourth proportional to 85.00, 117.34 and 50.02 is: 69.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.00 : 117.34 = 50.02 : x
  2. Step 2: Convert to fraction form
    85.00/117.34 = 50.02/x
  3. Step 3: Cross multiply
    85.00x = 117.34 × 50.02
  4. Step 4: Simplify right side
    85.00x = 5,869.27
  5. Step 5: Solve for x
    x = 5,869.27/85.00
  6. Step 6: Final answer
    x = 69.05

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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.