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Finding the Fourth Proportional to 15.30, 21.10 and 11.64

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Solution

The fourth proportional to 15.30, 21.10 and 11.64 is: 16.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.30 : 21.10 = 11.64 : x
  2. Step 2: Convert to fraction form
    15.30/21.10 = 11.64/x
  3. Step 3: Cross multiply
    15.30x = 21.10 × 11.64
  4. Step 4: Simplify right side
    15.30x = 245.60
  5. Step 5: Solve for x
    x = 245.60/15.30
  6. Step 6: Final answer
    x = 16.05

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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.