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Finding the Fourth Proportional to 89.64, 134.62 and 85.80

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Solution

The fourth proportional to 89.64, 134.62 and 85.80 is: 128.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.64 : 134.62 = 85.80 : x
  2. Step 2: Convert to fraction form
    89.64/134.62 = 85.80/x
  3. Step 3: Cross multiply
    89.64x = 134.62 × 85.80
  4. Step 4: Simplify right side
    89.64x = 11,550.40
  5. Step 5: Solve for x
    x = 11,550.40/89.64
  6. Step 6: Final answer
    x = 128.85

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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.