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Finding the Fourth Proportional to 31.00, 46.50 and 10.71

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Solution

The fourth proportional to 31.00, 46.50 and 10.71 is: 16.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.00 : 46.50 = 10.71 : x
  2. Step 2: Convert to fraction form
    31.00/46.50 = 10.71/x
  3. Step 3: Cross multiply
    31.00x = 46.50 × 10.71
  4. Step 4: Simplify right side
    31.00x = 498.23
  5. Step 5: Solve for x
    x = 498.23/31.00
  6. Step 6: Final answer
    x = 16.07

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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.