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Finding the Fourth Proportional to 5.45, 8.16 and 4.12

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Solution

The fourth proportional to 5.45, 8.16 and 4.12 is: 6.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.45 : 8.16 = 4.12 : x
  2. Step 2: Convert to fraction form
    5.45/8.16 = 4.12/x
  3. Step 3: Cross multiply
    5.45x = 8.16 × 4.12
  4. Step 4: Simplify right side
    5.45x = 33.62
  5. Step 5: Solve for x
    x = 33.62/5.45
  6. Step 6: Final answer
    x = 6.17

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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.