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Finding the Fourth Proportional to 6, 9.02 and 4.68

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Solution

The fourth proportional to 6, 9.02 and 4.68 is: 7.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6 : 9.02 = 4.68 : x
  2. Step 2: Convert to fraction form
    6/9.02 = 4.68/x
  3. Step 3: Cross multiply
    6x = 9.02 × 4.68
  4. Step 4: Simplify right side
    6x = 42.21
  5. Step 5: Solve for x
    x = 42.21/6
  6. Step 6: Final answer
    x = 7.04

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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.