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Finding the Fourth Proportional to 38.60, 57.93 and 31.46

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Solution

The fourth proportional to 38.60, 57.93 and 31.46 is: 47.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.60 : 57.93 = 31.46 : x
  2. Step 2: Convert to fraction form
    38.60/57.93 = 31.46/x
  3. Step 3: Cross multiply
    38.60x = 57.93 × 31.46
  4. Step 4: Simplify right side
    38.60x = 1,822.54
  5. Step 5: Solve for x
    x = 1,822.54/38.60
  6. Step 6: Final answer
    x = 47.21

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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.