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Finding the Fourth Proportional to 174.03, 260.66 and 109.06

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Solution

The fourth proportional to 174.03, 260.66 and 109.06 is: 163.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.03 : 260.66 = 109.06 : x
  2. Step 2: Convert to fraction form
    174.03/260.66 = 109.06/x
  3. Step 3: Cross multiply
    174.03x = 260.66 × 109.06
  4. Step 4: Simplify right side
    174.03x = 28,427.20
  5. Step 5: Solve for x
    x = 28,427.20/174.03
  6. Step 6: Final answer
    x = 163.35

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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.