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Finding the Fourth Proportional to 13.01, 17.87 and 12.08

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Solution

The fourth proportional to 13.01, 17.87 and 12.08 is: 16.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.01 : 17.87 = 12.08 : x
  2. Step 2: Convert to fraction form
    13.01/17.87 = 12.08/x
  3. Step 3: Cross multiply
    13.01x = 17.87 × 12.08
  4. Step 4: Simplify right side
    13.01x = 215.81
  5. Step 5: Solve for x
    x = 215.81/13.01
  6. Step 6: Final answer
    x = 16.58

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.