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Finding the Fourth Proportional to 170.18, 254.66 and 97.68

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Solution

The fourth proportional to 170.18, 254.66 and 97.68 is: 146.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.18 : 254.66 = 97.68 : x
  2. Step 2: Convert to fraction form
    170.18/254.66 = 97.68/x
  3. Step 3: Cross multiply
    170.18x = 254.66 × 97.68
  4. Step 4: Simplify right side
    170.18x = 24,874.70
  5. Step 5: Solve for x
    x = 24,874.70/170.18
  6. Step 6: Final answer
    x = 146.17

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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.