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Finding the Fourth Proportional to 111.68, 168.16 and 103.68

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Solution

The fourth proportional to 111.68, 168.16 and 103.68 is: 156.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.68 : 168.16 = 103.68 : x
  2. Step 2: Convert to fraction form
    111.68/168.16 = 103.68/x
  3. Step 3: Cross multiply
    111.68x = 168.16 × 103.68
  4. Step 4: Simplify right side
    111.68x = 17,434.83
  5. Step 5: Solve for x
    x = 17,434.83/111.68
  6. Step 6: Final answer
    x = 156.11

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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.