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Finding the Fourth Proportional to 89.57, 133.65 and 85.66

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Solution

The fourth proportional to 89.57, 133.65 and 85.66 is: 127.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.57 : 133.65 = 85.66 : x
  2. Step 2: Convert to fraction form
    89.57/133.65 = 85.66/x
  3. Step 3: Cross multiply
    89.57x = 133.65 × 85.66
  4. Step 4: Simplify right side
    89.57x = 11,448.12
  5. Step 5: Solve for x
    x = 11,448.12/89.57
  6. Step 6: Final answer
    x = 127.81

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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.