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Finding the Fourth Proportional to 3.46, 5.22 and 3.45

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Solution

The fourth proportional to 3.46, 5.22 and 3.45 is: 5.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.46 : 5.22 = 3.45 : x
  2. Step 2: Convert to fraction form
    3.46/5.22 = 3.45/x
  3. Step 3: Cross multiply
    3.46x = 5.22 × 3.45
  4. Step 4: Simplify right side
    3.46x = 18.01
  5. Step 5: Solve for x
    x = 18.01/3.46
  6. Step 6: Final answer
    x = 5.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.