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Finding the Fourth Proportional to 29.80, 44.75 and 25.57

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Solution

The fourth proportional to 29.80, 44.75 and 25.57 is: 38.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.80 : 44.75 = 25.57 : x
  2. Step 2: Convert to fraction form
    29.80/44.75 = 25.57/x
  3. Step 3: Cross multiply
    29.80x = 44.75 × 25.57
  4. Step 4: Simplify right side
    29.80x = 1,144.02
  5. Step 5: Solve for x
    x = 1,144.02/29.80
  6. Step 6: Final answer
    x = 38.39

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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.