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Finding the Fourth Proportional to 6.71, 10.06 and 4

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Solution

The fourth proportional to 6.71, 10.06 and 4 is: 6.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.71 : 10.06 = 4 : x
  2. Step 2: Convert to fraction form
    6.71/10.06 = 4/x
  3. Step 3: Cross multiply
    6.71x = 10.06 × 4
  4. Step 4: Simplify right side
    6.71x = 40.24
  5. Step 5: Solve for x
    x = 40.24/6.71
  6. Step 6: Final answer
    x = 6.00

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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.