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Finding the Fourth Proportional to 110.19, 165.36 and 45.23

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Solution

The fourth proportional to 110.19, 165.36 and 45.23 is: 67.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.19 : 165.36 = 45.23 : x
  2. Step 2: Convert to fraction form
    110.19/165.36 = 45.23/x
  3. Step 3: Cross multiply
    110.19x = 165.36 × 45.23
  4. Step 4: Simplify right side
    110.19x = 7,478.32
  5. Step 5: Solve for x
    x = 7,478.32/110.19
  6. Step 6: Final answer
    x = 67.87

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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.