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Finding the Fourth Proportional to 12.10, 16.65 and 9.02

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Solution

The fourth proportional to 12.10, 16.65 and 9.02 is: 12.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.10 : 16.65 = 9.02 : x
  2. Step 2: Convert to fraction form
    12.10/16.65 = 9.02/x
  3. Step 3: Cross multiply
    12.10x = 16.65 × 9.02
  4. Step 4: Simplify right side
    12.10x = 150.26
  5. Step 5: Solve for x
    x = 150.26/12.10
  6. Step 6: Final answer
    x = 12.42

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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.