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Finding the Fourth Proportional to 170.98, 256.08 and 106.72

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Solution

The fourth proportional to 170.98, 256.08 and 106.72 is: 159.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.98 : 256.08 = 106.72 : x
  2. Step 2: Convert to fraction form
    170.98/256.08 = 106.72/x
  3. Step 3: Cross multiply
    170.98x = 256.08 × 106.72
  4. Step 4: Simplify right side
    170.98x = 27,328.86
  5. Step 5: Solve for x
    x = 27,328.86/170.98
  6. Step 6: Final answer
    x = 159.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.