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Finding the Fourth Proportional to 30.71, 42.37 and 23.79

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Solution

The fourth proportional to 30.71, 42.37 and 23.79 is: 32.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.71 : 42.37 = 23.79 : x
  2. Step 2: Convert to fraction form
    30.71/42.37 = 23.79/x
  3. Step 3: Cross multiply
    30.71x = 42.37 × 23.79
  4. Step 4: Simplify right side
    30.71x = 1,008.22
  5. Step 5: Solve for x
    x = 1,008.22/30.71
  6. Step 6: Final answer
    x = 32.83

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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.