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Finding the Fourth Proportional to 174.62, 261.85 and 102.46

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Solution

The fourth proportional to 174.62, 261.85 and 102.46 is: 153.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.62 : 261.85 = 102.46 : x
  2. Step 2: Convert to fraction form
    174.62/261.85 = 102.46/x
  3. Step 3: Cross multiply
    174.62x = 261.85 × 102.46
  4. Step 4: Simplify right side
    174.62x = 26,829.15
  5. Step 5: Solve for x
    x = 26,829.15/174.62
  6. Step 6: Final answer
    x = 153.64

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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.