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Finding the Fourth Proportional to 174.70, 261.58 and 105.23

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Solution

The fourth proportional to 174.70, 261.58 and 105.23 is: 157.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.70 : 261.58 = 105.23 : x
  2. Step 2: Convert to fraction form
    174.70/261.58 = 105.23/x
  3. Step 3: Cross multiply
    174.70x = 261.58 × 105.23
  4. Step 4: Simplify right side
    174.70x = 27,526.06
  5. Step 5: Solve for x
    x = 27,526.06/174.70
  6. Step 6: Final answer
    x = 157.56

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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.