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Finding the Fourth Proportional to 89.07, 122.93 and 61.43

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Solution

The fourth proportional to 89.07, 122.93 and 61.43 is: 84.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.07 : 122.93 = 61.43 : x
  2. Step 2: Convert to fraction form
    89.07/122.93 = 61.43/x
  3. Step 3: Cross multiply
    89.07x = 122.93 × 61.43
  4. Step 4: Simplify right side
    89.07x = 7,551.24
  5. Step 5: Solve for x
    x = 7,551.24/89.07
  6. Step 6: Final answer
    x = 84.78

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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.