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Finding the Fourth Proportional to 31.56, 46.94 and 31.45

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Solution

The fourth proportional to 31.56, 46.94 and 31.45 is: 46.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.56 : 46.94 = 31.45 : x
  2. Step 2: Convert to fraction form
    31.56/46.94 = 31.45/x
  3. Step 3: Cross multiply
    31.56x = 46.94 × 31.45
  4. Step 4: Simplify right side
    31.56x = 1,476.26
  5. Step 5: Solve for x
    x = 1,476.26/31.56
  6. Step 6: Final answer
    x = 46.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.