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Finding the Fourth Proportional to 31.51, 46.98 and 30.71

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Solution

The fourth proportional to 31.51, 46.98 and 30.71 is: 45.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.51 : 46.98 = 30.71 : x
  2. Step 2: Convert to fraction form
    31.51/46.98 = 30.71/x
  3. Step 3: Cross multiply
    31.51x = 46.98 × 30.71
  4. Step 4: Simplify right side
    31.51x = 1,442.70
  5. Step 5: Solve for x
    x = 1,442.70/31.51
  6. Step 6: Final answer
    x = 45.78

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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.