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Finding the Fourth Proportional to 10.55, 15.82 and 5.40

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Solution

The fourth proportional to 10.55, 15.82 and 5.40 is: 8.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.55 : 15.82 = 5.40 : x
  2. Step 2: Convert to fraction form
    10.55/15.82 = 5.40/x
  3. Step 3: Cross multiply
    10.55x = 15.82 × 5.40
  4. Step 4: Simplify right side
    10.55x = 85.41
  5. Step 5: Solve for x
    x = 85.41/10.55
  6. Step 6: Final answer
    x = 8.09

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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.