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Finding the Fourth Proportional to 10.02, 13.82 and 6.56

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Solution

The fourth proportional to 10.02, 13.82 and 6.56 is: 9.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.02 : 13.82 = 6.56 : x
  2. Step 2: Convert to fraction form
    10.02/13.82 = 6.56/x
  3. Step 3: Cross multiply
    10.02x = 13.82 × 6.56
  4. Step 4: Simplify right side
    10.02x = 90.66
  5. Step 5: Solve for x
    x = 90.66/10.02
  6. Step 6: Final answer
    x = 9.05

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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.