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Finding the Fourth Proportional to 31.05, 46.56 and 10.74

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Solution

The fourth proportional to 31.05, 46.56 and 10.74 is: 16.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.05 : 46.56 = 10.74 : x
  2. Step 2: Convert to fraction form
    31.05/46.56 = 10.74/x
  3. Step 3: Cross multiply
    31.05x = 46.56 × 10.74
  4. Step 4: Simplify right side
    31.05x = 500.05
  5. Step 5: Solve for x
    x = 500.05/31.05
  6. Step 6: Final answer
    x = 16.10

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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.