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Finding the Fourth Proportional to 170.07, 254.73 and 96.78

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Solution

The fourth proportional to 170.07, 254.73 and 96.78 is: 144.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.07 : 254.73 = 96.78 : x
  2. Step 2: Convert to fraction form
    170.07/254.73 = 96.78/x
  3. Step 3: Cross multiply
    170.07x = 254.73 × 96.78
  4. Step 4: Simplify right side
    170.07x = 24,652.77
  5. Step 5: Solve for x
    x = 24,652.77/170.07
  6. Step 6: Final answer
    x = 144.96

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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.