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Finding the Fourth Proportional to 11.66, 17.48 and 9.10

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Solution

The fourth proportional to 11.66, 17.48 and 9.10 is: 13.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.66 : 17.48 = 9.10 : x
  2. Step 2: Convert to fraction form
    11.66/17.48 = 9.10/x
  3. Step 3: Cross multiply
    11.66x = 17.48 × 9.10
  4. Step 4: Simplify right side
    11.66x = 159.01
  5. Step 5: Solve for x
    x = 159.01/11.66
  6. Step 6: Final answer
    x = 13.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.