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Finding the Fourth Proportional to 7.07, 10.56 and 6.54

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Solution

The fourth proportional to 7.07, 10.56 and 6.54 is: 9.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.07 : 10.56 = 6.54 : x
  2. Step 2: Convert to fraction form
    7.07/10.56 = 6.54/x
  3. Step 3: Cross multiply
    7.07x = 10.56 × 6.54
  4. Step 4: Simplify right side
    7.07x = 69.06
  5. Step 5: Solve for x
    x = 69.06/7.07
  6. Step 6: Final answer
    x = 9.77

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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.