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Finding the Fourth Proportional to 28.34, 42.50 and 13.11

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Solution

The fourth proportional to 28.34, 42.50 and 13.11 is: 19.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.34 : 42.50 = 13.11 : x
  2. Step 2: Convert to fraction form
    28.34/42.50 = 13.11/x
  3. Step 3: Cross multiply
    28.34x = 42.50 × 13.11
  4. Step 4: Simplify right side
    28.34x = 557.18
  5. Step 5: Solve for x
    x = 557.18/28.34
  6. Step 6: Final answer
    x = 19.66

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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.