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Finding the Fourth Proportional to 11.02, 16.60 and 9.54

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Solution

The fourth proportional to 11.02, 16.60 and 9.54 is: 14.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.02 : 16.60 = 9.54 : x
  2. Step 2: Convert to fraction form
    11.02/16.60 = 9.54/x
  3. Step 3: Cross multiply
    11.02x = 16.60 × 9.54
  4. Step 4: Simplify right side
    11.02x = 158.36
  5. Step 5: Solve for x
    x = 158.36/11.02
  6. Step 6: Final answer
    x = 14.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.