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Finding the Fourth Proportional to 174.59, 261.94 and 70.49

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Solution

The fourth proportional to 174.59, 261.94 and 70.49 is: 105.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.59 : 261.94 = 70.49 : x
  2. Step 2: Convert to fraction form
    174.59/261.94 = 70.49/x
  3. Step 3: Cross multiply
    174.59x = 261.94 × 70.49
  4. Step 4: Simplify right side
    174.59x = 18,462.66
  5. Step 5: Solve for x
    x = 18,462.66/174.59
  6. Step 6: Final answer
    x = 105.75

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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.