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Finding the Fourth Proportional to 31.06, 46.60 and 10.78

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Solution

The fourth proportional to 31.06, 46.60 and 10.78 is: 16.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.06 : 46.60 = 10.78 : x
  2. Step 2: Convert to fraction form
    31.06/46.60 = 10.78/x
  3. Step 3: Cross multiply
    31.06x = 46.60 × 10.78
  4. Step 4: Simplify right side
    31.06x = 502.20
  5. Step 5: Solve for x
    x = 502.20/31.06
  6. Step 6: Final answer
    x = 16.17

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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.