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Finding the Fourth Proportional to 8.34, 11.48 and 7.02

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Solution

The fourth proportional to 8.34, 11.48 and 7.02 is: 9.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.34 : 11.48 = 7.02 : x
  2. Step 2: Convert to fraction form
    8.34/11.48 = 7.02/x
  3. Step 3: Cross multiply
    8.34x = 11.48 × 7.02
  4. Step 4: Simplify right side
    8.34x = 80.55
  5. Step 5: Solve for x
    x = 80.55/8.34
  6. Step 6: Final answer
    x = 9.66

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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.