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Finding the Fourth Proportional to 31.57, 47.37 and 16.93

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Solution

The fourth proportional to 31.57, 47.37 and 16.93 is: 25.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.57 : 47.37 = 16.93 : x
  2. Step 2: Convert to fraction form
    31.57/47.37 = 16.93/x
  3. Step 3: Cross multiply
    31.57x = 47.37 × 16.93
  4. Step 4: Simplify right side
    31.57x = 801.97
  5. Step 5: Solve for x
    x = 801.97/31.57
  6. Step 6: Final answer
    x = 25.40

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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.