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Finding the Fourth Proportional to 8.61, 11.88 and 5.37

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Solution

The fourth proportional to 8.61, 11.88 and 5.37 is: 7.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.61 : 11.88 = 5.37 : x
  2. Step 2: Convert to fraction form
    8.61/11.88 = 5.37/x
  3. Step 3: Cross multiply
    8.61x = 11.88 × 5.37
  4. Step 4: Simplify right side
    8.61x = 63.78
  5. Step 5: Solve for x
    x = 63.78/8.61
  6. Step 6: Final answer
    x = 7.41

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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.