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Finding the Fourth Proportional to 115.74, 173.53 and 38.67

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Solution

The fourth proportional to 115.74, 173.53 and 38.67 is: 57.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.74 : 173.53 = 38.67 : x
  2. Step 2: Convert to fraction form
    115.74/173.53 = 38.67/x
  3. Step 3: Cross multiply
    115.74x = 173.53 × 38.67
  4. Step 4: Simplify right side
    115.74x = 6,710.41
  5. Step 5: Solve for x
    x = 6,710.41/115.74
  6. Step 6: Final answer
    x = 57.98

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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.