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Finding the Fourth Proportional to 83.09, 114.65 and 48.12

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Solution

The fourth proportional to 83.09, 114.65 and 48.12 is: 66.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.09 : 114.65 = 48.12 : x
  2. Step 2: Convert to fraction form
    83.09/114.65 = 48.12/x
  3. Step 3: Cross multiply
    83.09x = 114.65 × 48.12
  4. Step 4: Simplify right side
    83.09x = 5,516.72
  5. Step 5: Solve for x
    x = 5,516.72/83.09
  6. Step 6: Final answer
    x = 66.39

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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.