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Finding the Fourth Proportional to 89.09, 122.92 and 52.24

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Solution

The fourth proportional to 89.09, 122.92 and 52.24 is: 72.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.09 : 122.92 = 52.24 : x
  2. Step 2: Convert to fraction form
    89.09/122.92 = 52.24/x
  3. Step 3: Cross multiply
    89.09x = 122.92 × 52.24
  4. Step 4: Simplify right side
    89.09x = 6,420.47
  5. Step 5: Solve for x
    x = 6,420.47/89.09
  6. Step 6: Final answer
    x = 72.07

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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.