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Finding the Fourth Proportional to 11.63, 16.05 and 7.32

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Solution

The fourth proportional to 11.63, 16.05 and 7.32 is: 10.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.63 : 16.05 = 7.32 : x
  2. Step 2: Convert to fraction form
    11.63/16.05 = 7.32/x
  3. Step 3: Cross multiply
    11.63x = 16.05 × 7.32
  4. Step 4: Simplify right side
    11.63x = 117.49
  5. Step 5: Solve for x
    x = 117.49/11.63
  6. Step 6: Final answer
    x = 10.10

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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.