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Finding the Fourth Proportional to 174.35, 261.63 and 83.06

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Solution

The fourth proportional to 174.35, 261.63 and 83.06 is: 124.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.35 : 261.63 = 83.06 : x
  2. Step 2: Convert to fraction form
    174.35/261.63 = 83.06/x
  3. Step 3: Cross multiply
    174.35x = 261.63 × 83.06
  4. Step 4: Simplify right side
    174.35x = 21,730.99
  5. Step 5: Solve for x
    x = 21,730.99/174.35
  6. Step 6: Final answer
    x = 124.64

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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.