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Finding the Fourth Proportional to 110.34, 165.39 and 49.35

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Solution

The fourth proportional to 110.34, 165.39 and 49.35 is: 73.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.34 : 165.39 = 49.35 : x
  2. Step 2: Convert to fraction form
    110.34/165.39 = 49.35/x
  3. Step 3: Cross multiply
    110.34x = 165.39 × 49.35
  4. Step 4: Simplify right side
    110.34x = 8,162.43
  5. Step 5: Solve for x
    x = 8,162.43/110.34
  6. Step 6: Final answer
    x = 73.98

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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.