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Finding the Fourth Proportional to 25.37, 38.03 and 15.74

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Solution

The fourth proportional to 25.37, 38.03 and 15.74 is: 23.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.37 : 38.03 = 15.74 : x
  2. Step 2: Convert to fraction form
    25.37/38.03 = 15.74/x
  3. Step 3: Cross multiply
    25.37x = 38.03 × 15.74
  4. Step 4: Simplify right side
    25.37x = 598.59
  5. Step 5: Solve for x
    x = 598.59/25.37
  6. Step 6: Final answer
    x = 23.59

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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.