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Finding the Fourth Proportional to 6.09, 8.40 and 5.57

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Solution

The fourth proportional to 6.09, 8.40 and 5.57 is: 7.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.09 : 8.40 = 5.57 : x
  2. Step 2: Convert to fraction form
    6.09/8.40 = 5.57/x
  3. Step 3: Cross multiply
    6.09x = 8.40 × 5.57
  4. Step 4: Simplify right side
    6.09x = 46.79
  5. Step 5: Solve for x
    x = 46.79/6.09
  6. Step 6: Final answer
    x = 7.68

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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.