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Finding the Fourth Proportional to 112.96, 168.58 and 110.08

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Solution

The fourth proportional to 112.96, 168.58 and 110.08 is: 164.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.96 : 168.58 = 110.08 : x
  2. Step 2: Convert to fraction form
    112.96/168.58 = 110.08/x
  3. Step 3: Cross multiply
    112.96x = 168.58 × 110.08
  4. Step 4: Simplify right side
    112.96x = 18,557.29
  5. Step 5: Solve for x
    x = 18,557.29/112.96
  6. Step 6: Final answer
    x = 164.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.