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Finding the Fourth Proportional to 4.67, 7.00 and 1.66

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Solution

The fourth proportional to 4.67, 7.00 and 1.66 is: 2.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.67 : 7.00 = 1.66 : x
  2. Step 2: Convert to fraction form
    4.67/7.00 = 1.66/x
  3. Step 3: Cross multiply
    4.67x = 7.00 × 1.66
  4. Step 4: Simplify right side
    4.67x = 11.64
  5. Step 5: Solve for x
    x = 11.64/4.67
  6. Step 6: Final answer
    x = 2.49

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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.