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Finding the Fourth Proportional to 89.67, 123.73 and 50.86

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Solution

The fourth proportional to 89.67, 123.73 and 50.86 is: 70.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.67 : 123.73 = 50.86 : x
  2. Step 2: Convert to fraction form
    89.67/123.73 = 50.86/x
  3. Step 3: Cross multiply
    89.67x = 123.73 × 50.86
  4. Step 4: Simplify right side
    89.67x = 6,292.91
  5. Step 5: Solve for x
    x = 6,292.91/89.67
  6. Step 6: Final answer
    x = 70.18

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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.