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Finding the Fourth Proportional to 174.70, 261.75 and 106.06

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Solution

The fourth proportional to 174.70, 261.75 and 106.06 is: 158.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.70 : 261.75 = 106.06 : x
  2. Step 2: Convert to fraction form
    174.70/261.75 = 106.06/x
  3. Step 3: Cross multiply
    174.70x = 261.75 × 106.06
  4. Step 4: Simplify right side
    174.70x = 27,761.21
  5. Step 5: Solve for x
    x = 27,761.21/174.70
  6. Step 6: Final answer
    x = 158.91

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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.