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Finding the Fourth Proportional to 36.78, 55.02 and 31.07

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Solution

The fourth proportional to 36.78, 55.02 and 31.07 is: 46.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.78 : 55.02 = 31.07 : x
  2. Step 2: Convert to fraction form
    36.78/55.02 = 31.07/x
  3. Step 3: Cross multiply
    36.78x = 55.02 × 31.07
  4. Step 4: Simplify right side
    36.78x = 1,709.47
  5. Step 5: Solve for x
    x = 1,709.47/36.78
  6. Step 6: Final answer
    x = 46.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.