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Finding the Fourth Proportional to 89.81, 123.97 and 67.74

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Solution

The fourth proportional to 89.81, 123.97 and 67.74 is: 93.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.81 : 123.97 = 67.74 : x
  2. Step 2: Convert to fraction form
    89.81/123.97 = 67.74/x
  3. Step 3: Cross multiply
    89.81x = 123.97 × 67.74
  4. Step 4: Simplify right side
    89.81x = 8,397.74
  5. Step 5: Solve for x
    x = 8,397.74/89.81
  6. Step 6: Final answer
    x = 93.51

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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.