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Finding the Fourth Proportional to 129.45, 193.78 and 126.35

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Solution

The fourth proportional to 129.45, 193.78 and 126.35 is: 189.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.45 : 193.78 = 126.35 : x
  2. Step 2: Convert to fraction form
    129.45/193.78 = 126.35/x
  3. Step 3: Cross multiply
    129.45x = 193.78 × 126.35
  4. Step 4: Simplify right side
    129.45x = 24,484.10
  5. Step 5: Solve for x
    x = 24,484.10/129.45
  6. Step 6: Final answer
    x = 189.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.