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Finding the Fourth Proportional to 89.82, 123.54 and 77.94

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Solution

The fourth proportional to 89.82, 123.54 and 77.94 is: 107.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.82 : 123.54 = 77.94 : x
  2. Step 2: Convert to fraction form
    89.82/123.54 = 77.94/x
  3. Step 3: Cross multiply
    89.82x = 123.54 × 77.94
  4. Step 4: Simplify right side
    89.82x = 9,628.71
  5. Step 5: Solve for x
    x = 9,628.71/89.82
  6. Step 6: Final answer
    x = 107.20

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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.