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Finding the Fourth Proportional to 170.83, 256.09 and 106.57

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Solution

The fourth proportional to 170.83, 256.09 and 106.57 is: 159.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.83 : 256.09 = 106.57 : x
  2. Step 2: Convert to fraction form
    170.83/256.09 = 106.57/x
  3. Step 3: Cross multiply
    170.83x = 256.09 × 106.57
  4. Step 4: Simplify right side
    170.83x = 27,291.51
  5. Step 5: Solve for x
    x = 27,291.51/170.83
  6. Step 6: Final answer
    x = 159.76

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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.