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Finding the Fourth Proportional to 6.64, 9.91 and 5.64

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Solution

The fourth proportional to 6.64, 9.91 and 5.64 is: 8.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.64 : 9.91 = 5.64 : x
  2. Step 2: Convert to fraction form
    6.64/9.91 = 5.64/x
  3. Step 3: Cross multiply
    6.64x = 9.91 × 5.64
  4. Step 4: Simplify right side
    6.64x = 55.89
  5. Step 5: Solve for x
    x = 55.89/6.64
  6. Step 6: Final answer
    x = 8.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.