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Finding the Fourth Proportional to 174.46, 240.87 and 105.50

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Solution

The fourth proportional to 174.46, 240.87 and 105.50 is: 145.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.46 : 240.87 = 105.50 : x
  2. Step 2: Convert to fraction form
    174.46/240.87 = 105.50/x
  3. Step 3: Cross multiply
    174.46x = 240.87 × 105.50
  4. Step 4: Simplify right side
    174.46x = 25,411.79
  5. Step 5: Solve for x
    x = 25,411.79/174.46
  6. Step 6: Final answer
    x = 145.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.