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Finding the Fourth Proportional to 170.96, 235.96 and 101.02

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Solution

The fourth proportional to 170.96, 235.96 and 101.02 is: 139.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.96 : 235.96 = 101.02 : x
  2. Step 2: Convert to fraction form
    170.96/235.96 = 101.02/x
  3. Step 3: Cross multiply
    170.96x = 235.96 × 101.02
  4. Step 4: Simplify right side
    170.96x = 23,836.68
  5. Step 5: Solve for x
    x = 23,836.68/170.96
  6. Step 6: Final answer
    x = 139.43

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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.