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Finding the Fourth Proportional to 89.54, 134.34 and 83.06

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Solution

The fourth proportional to 89.54, 134.34 and 83.06 is: 124.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.54 : 134.34 = 83.06 : x
  2. Step 2: Convert to fraction form
    89.54/134.34 = 83.06/x
  3. Step 3: Cross multiply
    89.54x = 134.34 × 83.06
  4. Step 4: Simplify right side
    89.54x = 11,158.28
  5. Step 5: Solve for x
    x = 11,158.28/89.54
  6. Step 6: Final answer
    x = 124.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.