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Finding the Fourth Proportional to 94.38, 130.25 and 55.05

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Solution

The fourth proportional to 94.38, 130.25 and 55.05 is: 75.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.38 : 130.25 = 55.05 : x
  2. Step 2: Convert to fraction form
    94.38/130.25 = 55.05/x
  3. Step 3: Cross multiply
    94.38x = 130.25 × 55.05
  4. Step 4: Simplify right side
    94.38x = 7,170.26
  5. Step 5: Solve for x
    x = 7,170.26/94.38
  6. Step 6: Final answer
    x = 75.97

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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.