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Finding the Fourth Proportional to 170.98, 256.36 and 106.08

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Solution

The fourth proportional to 170.98, 256.36 and 106.08 is: 159.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.98 : 256.36 = 106.08 : x
  2. Step 2: Convert to fraction form
    170.98/256.36 = 106.08/x
  3. Step 3: Cross multiply
    170.98x = 256.36 × 106.08
  4. Step 4: Simplify right side
    170.98x = 27,194.67
  5. Step 5: Solve for x
    x = 27,194.67/170.98
  6. Step 6: Final answer
    x = 159.05

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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.