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Finding the Fourth Proportional to 7.07, 9.77 and 6.57

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Solution

The fourth proportional to 7.07, 9.77 and 6.57 is: 9.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.07 : 9.77 = 6.57 : x
  2. Step 2: Convert to fraction form
    7.07/9.77 = 6.57/x
  3. Step 3: Cross multiply
    7.07x = 9.77 × 6.57
  4. Step 4: Simplify right side
    7.07x = 64.16
  5. Step 5: Solve for x
    x = 64.16/7.07
  6. Step 6: Final answer
    x = 9.08

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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.