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Finding the Fourth Proportional to 42.34, 63.46 and 27.09

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Solution

The fourth proportional to 42.34, 63.46 and 27.09 is: 40.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.34 : 63.46 = 27.09 : x
  2. Step 2: Convert to fraction form
    42.34/63.46 = 27.09/x
  3. Step 3: Cross multiply
    42.34x = 63.46 × 27.09
  4. Step 4: Simplify right side
    42.34x = 1,719.27
  5. Step 5: Solve for x
    x = 1,719.27/42.34
  6. Step 6: Final answer
    x = 40.60

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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.