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Finding the Fourth Proportional to 5.69, 8.54 and 1.41

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Solution

The fourth proportional to 5.69, 8.54 and 1.41 is: 2.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.69 : 8.54 = 1.41 : x
  2. Step 2: Convert to fraction form
    5.69/8.54 = 1.41/x
  3. Step 3: Cross multiply
    5.69x = 8.54 × 1.41
  4. Step 4: Simplify right side
    5.69x = 12.04
  5. Step 5: Solve for x
    x = 12.04/5.69
  6. Step 6: Final answer
    x = 2.12

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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.