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Finding the Fourth Proportional to 4.72, 7.07 and 4.16

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Solution

The fourth proportional to 4.72, 7.07 and 4.16 is: 6.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.72 : 7.07 = 4.16 : x
  2. Step 2: Convert to fraction form
    4.72/7.07 = 4.16/x
  3. Step 3: Cross multiply
    4.72x = 7.07 × 4.16
  4. Step 4: Simplify right side
    4.72x = 29.41
  5. Step 5: Solve for x
    x = 29.41/4.72
  6. Step 6: Final answer
    x = 6.23

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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.