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Finding the Fourth Proportional to 94.77, 130.82 and 83.13

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Solution

The fourth proportional to 94.77, 130.82 and 83.13 is: 114.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.77 : 130.82 = 83.13 : x
  2. Step 2: Convert to fraction form
    94.77/130.82 = 83.13/x
  3. Step 3: Cross multiply
    94.77x = 130.82 × 83.13
  4. Step 4: Simplify right side
    94.77x = 10,874.16
  5. Step 5: Solve for x
    x = 10,874.16/94.77
  6. Step 6: Final answer
    x = 114.74

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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.