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Finding the Fourth Proportional to 8.53, 11.77 and 6.10

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Solution

The fourth proportional to 8.53, 11.77 and 6.10 is: 8.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.53 : 11.77 = 6.10 : x
  2. Step 2: Convert to fraction form
    8.53/11.77 = 6.10/x
  3. Step 3: Cross multiply
    8.53x = 11.77 × 6.10
  4. Step 4: Simplify right side
    8.53x = 71.80
  5. Step 5: Solve for x
    x = 71.80/8.53
  6. Step 6: Final answer
    x = 8.42

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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.