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Finding the Fourth Proportional to 7.66, 10.54 and 7.09

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Solution

The fourth proportional to 7.66, 10.54 and 7.09 is: 9.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.66 : 10.54 = 7.09 : x
  2. Step 2: Convert to fraction form
    7.66/10.54 = 7.09/x
  3. Step 3: Cross multiply
    7.66x = 10.54 × 7.09
  4. Step 4: Simplify right side
    7.66x = 74.64
  5. Step 5: Solve for x
    x = 74.64/7.66
  6. Step 6: Final answer
    x = 9.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.