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Finding the Fourth Proportional to 3.61, 5.41 and 1.60

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Solution

The fourth proportional to 3.61, 5.41 and 1.60 is: 2.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.61 : 5.41 = 1.60 : x
  2. Step 2: Convert to fraction form
    3.61/5.41 = 1.60/x
  3. Step 3: Cross multiply
    3.61x = 5.41 × 1.60
  4. Step 4: Simplify right side
    3.61x = 8.66
  5. Step 5: Solve for x
    x = 8.66/3.61
  6. Step 6: Final answer
    x = 2.40

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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.