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Finding the Fourth Proportional to 31.03, 42.77 and 24.46

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Solution

The fourth proportional to 31.03, 42.77 and 24.46 is: 33.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.03 : 42.77 = 24.46 : x
  2. Step 2: Convert to fraction form
    31.03/42.77 = 24.46/x
  3. Step 3: Cross multiply
    31.03x = 42.77 × 24.46
  4. Step 4: Simplify right side
    31.03x = 1,045.94
  5. Step 5: Solve for x
    x = 1,045.94/31.03
  6. Step 6: Final answer
    x = 33.71

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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.