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Finding the Fourth Proportional to 10.27, 15.40 and 7.06

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Solution

The fourth proportional to 10.27, 15.40 and 7.06 is: 10.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.27 : 15.40 = 7.06 : x
  2. Step 2: Convert to fraction form
    10.27/15.40 = 7.06/x
  3. Step 3: Cross multiply
    10.27x = 15.40 × 7.06
  4. Step 4: Simplify right side
    10.27x = 108.72
  5. Step 5: Solve for x
    x = 108.72/10.27
  6. Step 6: Final answer
    x = 10.59

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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.