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Finding the Fourth Proportional to 126.40, 174.48 and 93.84

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Solution

The fourth proportional to 126.40, 174.48 and 93.84 is: 129.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.40 : 174.48 = 93.84 : x
  2. Step 2: Convert to fraction form
    126.40/174.48 = 93.84/x
  3. Step 3: Cross multiply
    126.40x = 174.48 × 93.84
  4. Step 4: Simplify right side
    126.40x = 16,373.20
  5. Step 5: Solve for x
    x = 16,373.20/126.40
  6. Step 6: Final answer
    x = 129.53

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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.