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Finding the Fourth Proportional to 94.60, 129.75 and 89.37

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Solution

The fourth proportional to 94.60, 129.75 and 89.37 is: 122.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.60 : 129.75 = 89.37 : x
  2. Step 2: Convert to fraction form
    94.60/129.75 = 89.37/x
  3. Step 3: Cross multiply
    94.60x = 129.75 × 89.37
  4. Step 4: Simplify right side
    94.60x = 11,594.66
  5. Step 5: Solve for x
    x = 11,594.66/94.60
  6. Step 6: Final answer
    x = 122.57

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.