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Finding the Fourth Proportional to 89.06, 122.84 and 54.06

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Solution

The fourth proportional to 89.06, 122.84 and 54.06 is: 74.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.06 : 122.84 = 54.06 : x
  2. Step 2: Convert to fraction form
    89.06/122.84 = 54.06/x
  3. Step 3: Cross multiply
    89.06x = 122.84 × 54.06
  4. Step 4: Simplify right side
    89.06x = 6,640.87
  5. Step 5: Solve for x
    x = 6,640.87/89.06
  6. Step 6: Final answer
    x = 74.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.