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Finding the Fourth Proportional to 174, 240.16 and 105.04

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Solution

The fourth proportional to 174, 240.16 and 105.04 is: 144.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    174 : 240.16 = 105.04 : x
  2. Step 2: Convert to fraction form
    174/240.16 = 105.04/x
  3. Step 3: Cross multiply
    174x = 240.16 × 105.04
  4. Step 4: Simplify right side
    174x = 25,226.41
  5. Step 5: Solve for x
    x = 25,226.41/174
  6. Step 6: Final answer
    x = 144.98

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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.