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Finding the Fourth Proportional to 83.64, 115.42 and 48.67

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Solution

The fourth proportional to 83.64, 115.42 and 48.67 is: 67.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.64 : 115.42 = 48.67 : x
  2. Step 2: Convert to fraction form
    83.64/115.42 = 48.67/x
  3. Step 3: Cross multiply
    83.64x = 115.42 × 48.67
  4. Step 4: Simplify right side
    83.64x = 5,617.49
  5. Step 5: Solve for x
    x = 5,617.49/83.64
  6. Step 6: Final answer
    x = 67.16

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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.