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Finding the Fourth Proportional to 112.96, 170.11 and 101.68

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Solution

The fourth proportional to 112.96, 170.11 and 101.68 is: 153.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.96 : 170.11 = 101.68 : x
  2. Step 2: Convert to fraction form
    112.96/170.11 = 101.68/x
  3. Step 3: Cross multiply
    112.96x = 170.11 × 101.68
  4. Step 4: Simplify right side
    112.96x = 17,296.78
  5. Step 5: Solve for x
    x = 17,296.78/112.96
  6. Step 6: Final answer
    x = 153.12

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.