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Finding the Fourth Proportional to 28.34, 39.05 and 27.50

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Solution

The fourth proportional to 28.34, 39.05 and 27.50 is: 37.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.34 : 39.05 = 27.50 : x
  2. Step 2: Convert to fraction form
    28.34/39.05 = 27.50/x
  3. Step 3: Cross multiply
    28.34x = 39.05 × 27.50
  4. Step 4: Simplify right side
    28.34x = 1,073.74
  5. Step 5: Solve for x
    x = 1,073.74/28.34
  6. Step 6: Final answer
    x = 37.89

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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.