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Finding the Fourth Proportional to 120.99, 166.86 and 93.36

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Solution

The fourth proportional to 120.99, 166.86 and 93.36 is: 128.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.99 : 166.86 = 93.36 : x
  2. Step 2: Convert to fraction form
    120.99/166.86 = 93.36/x
  3. Step 3: Cross multiply
    120.99x = 166.86 × 93.36
  4. Step 4: Simplify right side
    120.99x = 15,578.05
  5. Step 5: Solve for x
    x = 15,578.05/120.99
  6. Step 6: Final answer
    x = 128.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.