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Finding the Fourth Proportional to 94.38, 130.35 and 77.83

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Solution

The fourth proportional to 94.38, 130.35 and 77.83 is: 107.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.38 : 130.35 = 77.83 : x
  2. Step 2: Convert to fraction form
    94.38/130.35 = 77.83/x
  3. Step 3: Cross multiply
    94.38x = 130.35 × 77.83
  4. Step 4: Simplify right side
    94.38x = 10,145.14
  5. Step 5: Solve for x
    x = 10,145.14/94.38
  6. Step 6: Final answer
    x = 107.49

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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.