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Finding the Fourth Proportional to 42.49, 58.64 and 23.09

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Solution

The fourth proportional to 42.49, 58.64 and 23.09 is: 31.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.49 : 58.64 = 23.09 : x
  2. Step 2: Convert to fraction form
    42.49/58.64 = 23.09/x
  3. Step 3: Cross multiply
    42.49x = 58.64 × 23.09
  4. Step 4: Simplify right side
    42.49x = 1,353.75
  5. Step 5: Solve for x
    x = 1,353.75/42.49
  6. Step 6: Final answer
    x = 31.86

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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.