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Finding the Fourth Proportional to 15.10, 20.84 and 9.65

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Solution

The fourth proportional to 15.10, 20.84 and 9.65 is: 13.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.10 : 20.84 = 9.65 : x
  2. Step 2: Convert to fraction form
    15.10/20.84 = 9.65/x
  3. Step 3: Cross multiply
    15.10x = 20.84 × 9.65
  4. Step 4: Simplify right side
    15.10x = 201.11
  5. Step 5: Solve for x
    x = 201.11/15.10
  6. Step 6: Final answer
    x = 13.32

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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.