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Finding the Fourth Proportional to 94.35, 141.53 and 25.87

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Solution

The fourth proportional to 94.35, 141.53 and 25.87 is: 38.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.35 : 141.53 = 25.87 : x
  2. Step 2: Convert to fraction form
    94.35/141.53 = 25.87/x
  3. Step 3: Cross multiply
    94.35x = 141.53 × 25.87
  4. Step 4: Simplify right side
    94.35x = 3,661.25
  5. Step 5: Solve for x
    x = 3,661.25/94.35
  6. Step 6: Final answer
    x = 38.81

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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.