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Finding the Fourth Proportional to 110, 165.14 and 94.07

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Solution

The fourth proportional to 110, 165.14 and 94.07 is: 141.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    110 : 165.14 = 94.07 : x
  2. Step 2: Convert to fraction form
    110/165.14 = 94.07/x
  3. Step 3: Cross multiply
    110x = 165.14 × 94.07
  4. Step 4: Simplify right side
    110x = 15,534.72
  5. Step 5: Solve for x
    x = 15,534.72/110
  6. Step 6: Final answer
    x = 141.22

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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.