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Finding the Fourth Proportional to 94.49, 130.37 and 55.15

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Solution

The fourth proportional to 94.49, 130.37 and 55.15 is: 76.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.49 : 130.37 = 55.15 : x
  2. Step 2: Convert to fraction form
    94.49/130.37 = 55.15/x
  3. Step 3: Cross multiply
    94.49x = 130.37 × 55.15
  4. Step 4: Simplify right side
    94.49x = 7,189.72
  5. Step 5: Solve for x
    x = 7,189.72/94.49
  6. Step 6: Final answer
    x = 76.09

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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.