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Finding the Fourth Proportional to 129.76, 193.28 and 110.08

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Solution

The fourth proportional to 129.76, 193.28 and 110.08 is: 163.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.76 : 193.28 = 110.08 : x
  2. Step 2: Convert to fraction form
    129.76/193.28 = 110.08/x
  3. Step 3: Cross multiply
    129.76x = 193.28 × 110.08
  4. Step 4: Simplify right side
    129.76x = 21,276.26
  5. Step 5: Solve for x
    x = 21,276.26/129.76
  6. Step 6: Final answer
    x = 163.97

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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.