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Finding the Fourth Proportional to 170.93, 256.07 and 102.25

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Solution

The fourth proportional to 170.93, 256.07 and 102.25 is: 153.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.93 : 256.07 = 102.25 : x
  2. Step 2: Convert to fraction form
    170.93/256.07 = 102.25/x
  3. Step 3: Cross multiply
    170.93x = 256.07 × 102.25
  4. Step 4: Simplify right side
    170.93x = 26,183.73
  5. Step 5: Solve for x
    x = 26,183.73/170.93
  6. Step 6: Final answer
    x = 153.18

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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.