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Finding the Fourth Proportional to 126.64, 174.66 and 93.84

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Solution

The fourth proportional to 126.64, 174.66 and 93.84 is: 129.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.64 : 174.66 = 93.84 : x
  2. Step 2: Convert to fraction form
    126.64/174.66 = 93.84/x
  3. Step 3: Cross multiply
    126.64x = 174.66 × 93.84
  4. Step 4: Simplify right side
    126.64x = 16,390.09
  5. Step 5: Solve for x
    x = 16,390.09/126.64
  6. Step 6: Final answer
    x = 129.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.