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Finding the Fourth Proportional to 6.34, 8.71 and 5.88

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Solution

The fourth proportional to 6.34, 8.71 and 5.88 is: 8.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.34 : 8.71 = 5.88 : x
  2. Step 2: Convert to fraction form
    6.34/8.71 = 5.88/x
  3. Step 3: Cross multiply
    6.34x = 8.71 × 5.88
  4. Step 4: Simplify right side
    6.34x = 51.21
  5. Step 5: Solve for x
    x = 51.21/6.34
  6. Step 6: Final answer
    x = 8.08

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.