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Finding the Fourth Proportional to 129.77, 194.65 and 78.74

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Solution

The fourth proportional to 129.77, 194.65 and 78.74 is: 118.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.77 : 194.65 = 78.74 : x
  2. Step 2: Convert to fraction form
    129.77/194.65 = 78.74/x
  3. Step 3: Cross multiply
    129.77x = 194.65 × 78.74
  4. Step 4: Simplify right side
    129.77x = 15,325.77
  5. Step 5: Solve for x
    x = 15,325.77/129.77
  6. Step 6: Final answer
    x = 118.10

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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.