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Finding the Fourth Proportional to 120.15, 179 and 114.33

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Solution

The fourth proportional to 120.15, 179 and 114.33 is: 170.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.15 : 179 = 114.33 : x
  2. Step 2: Convert to fraction form
    120.15/179 = 114.33/x
  3. Step 3: Cross multiply
    120.15x = 179 × 114.33
  4. Step 4: Simplify right side
    120.15x = 20,465.07
  5. Step 5: Solve for x
    x = 20,465.07/120.15
  6. Step 6: Final answer
    x = 170.33

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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.