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Finding the Fourth Proportional to 83.12, 114.69 and 48.12

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Solution

The fourth proportional to 83.12, 114.69 and 48.12 is: 66.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.12 : 114.69 = 48.12 : x
  2. Step 2: Convert to fraction form
    83.12/114.69 = 48.12/x
  3. Step 3: Cross multiply
    83.12x = 114.69 × 48.12
  4. Step 4: Simplify right side
    83.12x = 5,518.88
  5. Step 5: Solve for x
    x = 5,518.88/83.12
  6. Step 6: Final answer
    x = 66.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.