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Finding the Fourth Proportional to 6, 9.03 and 5.64

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Solution

The fourth proportional to 6, 9.03 and 5.64 is: 8.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6 : 9.03 = 5.64 : x
  2. Step 2: Convert to fraction form
    6/9.03 = 5.64/x
  3. Step 3: Cross multiply
    6x = 9.03 × 5.64
  4. Step 4: Simplify right side
    6x = 50.93
  5. Step 5: Solve for x
    x = 50.93/6
  6. Step 6: Final answer
    x = 8.49

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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.