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Finding the Fourth Proportional to 31.17, 42.96 and 28.98

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Solution

The fourth proportional to 31.17, 42.96 and 28.98 is: 39.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.17 : 42.96 = 28.98 : x
  2. Step 2: Convert to fraction form
    31.17/42.96 = 28.98/x
  3. Step 3: Cross multiply
    31.17x = 42.96 × 28.98
  4. Step 4: Simplify right side
    31.17x = 1,244.98
  5. Step 5: Solve for x
    x = 1,244.98/31.17
  6. Step 6: Final answer
    x = 39.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.