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Finding the Fourth Proportional to 11.03, 16.56 and 7.02

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Solution

The fourth proportional to 11.03, 16.56 and 7.02 is: 10.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.03 : 16.56 = 7.02 : x
  2. Step 2: Convert to fraction form
    11.03/16.56 = 7.02/x
  3. Step 3: Cross multiply
    11.03x = 16.56 × 7.02
  4. Step 4: Simplify right side
    11.03x = 116.25
  5. Step 5: Solve for x
    x = 116.25/11.03
  6. Step 6: Final answer
    x = 10.54

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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.