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Finding the Fourth Proportional to 11.64, 17.46 and 4.89

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Solution

The fourth proportional to 11.64, 17.46 and 4.89 is: 7.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.64 : 17.46 = 4.89 : x
  2. Step 2: Convert to fraction form
    11.64/17.46 = 4.89/x
  3. Step 3: Cross multiply
    11.64x = 17.46 × 4.89
  4. Step 4: Simplify right side
    11.64x = 85.28
  5. Step 5: Solve for x
    x = 85.28/11.64
  6. Step 6: Final answer
    x = 7.32

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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.