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Finding the Fourth Proportional to 31.51, 47.31 and 29.98

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Solution

The fourth proportional to 31.51, 47.31 and 29.98 is: 45.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.51 : 47.31 = 29.98 : x
  2. Step 2: Convert to fraction form
    31.51/47.31 = 29.98/x
  3. Step 3: Cross multiply
    31.51x = 47.31 × 29.98
  4. Step 4: Simplify right side
    31.51x = 1,418.20
  5. Step 5: Solve for x
    x = 1,418.20/31.51
  6. Step 6: Final answer
    x = 45.02

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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.