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Finding the Fourth Proportional to 170.13, 254.93 and 97.83

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Solution

The fourth proportional to 170.13, 254.93 and 97.83 is: 146.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.13 : 254.93 = 97.83 : x
  2. Step 2: Convert to fraction form
    170.13/254.93 = 97.83/x
  3. Step 3: Cross multiply
    170.13x = 254.93 × 97.83
  4. Step 4: Simplify right side
    170.13x = 24,939.31
  5. Step 5: Solve for x
    x = 24,939.31/170.13
  6. Step 6: Final answer
    x = 146.59

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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.