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Finding the Fourth Proportional to 89.68, 123.51 and 83.87

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Solution

The fourth proportional to 89.68, 123.51 and 83.87 is: 115.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.68 : 123.51 = 83.87 : x
  2. Step 2: Convert to fraction form
    89.68/123.51 = 83.87/x
  3. Step 3: Cross multiply
    89.68x = 123.51 × 83.87
  4. Step 4: Simplify right side
    89.68x = 10,359.35
  5. Step 5: Solve for x
    x = 10,359.35/89.68
  6. Step 6: Final answer
    x = 115.51

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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.