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Finding the Fourth Proportional to 170.82, 235.74 and 97.14

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Solution

The fourth proportional to 170.82, 235.74 and 97.14 is: 134.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.82 : 235.74 = 97.14 : x
  2. Step 2: Convert to fraction form
    170.82/235.74 = 97.14/x
  3. Step 3: Cross multiply
    170.82x = 235.74 × 97.14
  4. Step 4: Simplify right side
    170.82x = 22,900.15
  5. Step 5: Solve for x
    x = 22,900.15/170.82
  6. Step 6: Final answer
    x = 134.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.