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Finding the Fourth Proportional to 8.34, 12.53 and 5.12

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Solution

The fourth proportional to 8.34, 12.53 and 5.12 is: 7.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.34 : 12.53 = 5.12 : x
  2. Step 2: Convert to fraction form
    8.34/12.53 = 5.12/x
  3. Step 3: Cross multiply
    8.34x = 12.53 × 5.12
  4. Step 4: Simplify right side
    8.34x = 64.21
  5. Step 5: Solve for x
    x = 64.21/8.34
  6. Step 6: Final answer
    x = 7.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.