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Finding the Fourth Proportional to 89.10, 132.86 and 84.24

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Solution

The fourth proportional to 89.10, 132.86 and 84.24 is: 125.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.10 : 132.86 = 84.24 : x
  2. Step 2: Convert to fraction form
    89.10/132.86 = 84.24/x
  3. Step 3: Cross multiply
    89.10x = 132.86 × 84.24
  4. Step 4: Simplify right side
    89.10x = 11,192.34
  5. Step 5: Solve for x
    x = 11,192.34/89.10
  6. Step 6: Final answer
    x = 125.62

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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.