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Finding the Fourth Proportional to 89.00, 122.83 and 52.15

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Solution

The fourth proportional to 89.00, 122.83 and 52.15 is: 71.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.00 : 122.83 = 52.15 : x
  2. Step 2: Convert to fraction form
    89.00/122.83 = 52.15/x
  3. Step 3: Cross multiply
    89.00x = 122.83 × 52.15
  4. Step 4: Simplify right side
    89.00x = 6,405.15
  5. Step 5: Solve for x
    x = 6,405.15/89.00
  6. Step 6: Final answer
    x = 71.97

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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.