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Finding the Fourth Proportional to 38.45, 53.01 and 31.46

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Solution

The fourth proportional to 38.45, 53.01 and 31.46 is: 43.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.45 : 53.01 = 31.46 : x
  2. Step 2: Convert to fraction form
    38.45/53.01 = 31.46/x
  3. Step 3: Cross multiply
    38.45x = 53.01 × 31.46
  4. Step 4: Simplify right side
    38.45x = 1,667.69
  5. Step 5: Solve for x
    x = 1,667.69/38.45
  6. Step 6: Final answer
    x = 43.37

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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.