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Finding the Fourth Proportional to 7.35, 11.09 and 7.35

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Solution

The fourth proportional to 7.35, 11.09 and 7.35 is: 11.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.35 : 11.09 = 7.35 : x
  2. Step 2: Convert to fraction form
    7.35/11.09 = 7.35/x
  3. Step 3: Cross multiply
    7.35x = 11.09 × 7.35
  4. Step 4: Simplify right side
    7.35x = 81.47
  5. Step 5: Solve for x
    x = 81.47/7.35
  6. Step 6: Final answer
    x = 11.09

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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.