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Finding the Fourth Proportional to 89.78, 123.94 and 69.06

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Solution

The fourth proportional to 89.78, 123.94 and 69.06 is: 95.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.78 : 123.94 = 69.06 : x
  2. Step 2: Convert to fraction form
    89.78/123.94 = 69.06/x
  3. Step 3: Cross multiply
    89.78x = 123.94 × 69.06
  4. Step 4: Simplify right side
    89.78x = 8,559.30
  5. Step 5: Solve for x
    x = 8,559.30/89.78
  6. Step 6: Final answer
    x = 95.34

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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.