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Finding the Fourth Proportional to 89.29, 123.23 and 49.96

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Solution

The fourth proportional to 89.29, 123.23 and 49.96 is: 68.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.29 : 123.23 = 49.96 : x
  2. Step 2: Convert to fraction form
    89.29/123.23 = 49.96/x
  3. Step 3: Cross multiply
    89.29x = 123.23 × 49.96
  4. Step 4: Simplify right side
    89.29x = 6,156.57
  5. Step 5: Solve for x
    x = 6,156.57/89.29
  6. Step 6: Final answer
    x = 68.95

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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.