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Finding the Fourth Proportional to 104.26, 143.88 and 57.64

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Solution

The fourth proportional to 104.26, 143.88 and 57.64 is: 79.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.26 : 143.88 = 57.64 : x
  2. Step 2: Convert to fraction form
    104.26/143.88 = 57.64/x
  3. Step 3: Cross multiply
    104.26x = 143.88 × 57.64
  4. Step 4: Simplify right side
    104.26x = 8,292.24
  5. Step 5: Solve for x
    x = 8,292.24/104.26
  6. Step 6: Final answer
    x = 79.53

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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.