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Finding the Fourth Proportional to 170.51, 255.15 and 121.64

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Solution

The fourth proportional to 170.51, 255.15 and 121.64 is: 182.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.51 : 255.15 = 121.64 : x
  2. Step 2: Convert to fraction form
    170.51/255.15 = 121.64/x
  3. Step 3: Cross multiply
    170.51x = 255.15 × 121.64
  4. Step 4: Simplify right side
    170.51x = 31,035.17
  5. Step 5: Solve for x
    x = 31,035.17/170.51
  6. Step 6: Final answer
    x = 182.02

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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.