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Finding the Fourth Proportional to 10.09, 13.72 and 10.07

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Solution

The fourth proportional to 10.09, 13.72 and 10.07 is: 13.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.09 : 13.72 = 10.07 : x
  2. Step 2: Convert to fraction form
    10.09/13.72 = 10.07/x
  3. Step 3: Cross multiply
    10.09x = 13.72 × 10.07
  4. Step 4: Simplify right side
    10.09x = 138.16
  5. Step 5: Solve for x
    x = 138.16/10.09
  6. Step 6: Final answer
    x = 13.69

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.