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Finding the Fourth Proportional to 89.94, 124.24 and 83.46

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Solution

The fourth proportional to 89.94, 124.24 and 83.46 is: 115.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.94 : 124.24 = 83.46 : x
  2. Step 2: Convert to fraction form
    89.94/124.24 = 83.46/x
  3. Step 3: Cross multiply
    89.94x = 124.24 × 83.46
  4. Step 4: Simplify right side
    89.94x = 10,369.07
  5. Step 5: Solve for x
    x = 10,369.07/89.94
  6. Step 6: Final answer
    x = 115.29

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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.