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Finding the Fourth Proportional to 89.21, 132.93 and 83.61

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Solution

The fourth proportional to 89.21, 132.93 and 83.61 is: 124.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.21 : 132.93 = 83.61 : x
  2. Step 2: Convert to fraction form
    89.21/132.93 = 83.61/x
  3. Step 3: Cross multiply
    89.21x = 132.93 × 83.61
  4. Step 4: Simplify right side
    89.21x = 11,114.28
  5. Step 5: Solve for x
    x = 11,114.28/89.21
  6. Step 6: Final answer
    x = 124.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.