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Finding the Fourth Proportional to 116.23, 174.32 and 35.09

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Solution

The fourth proportional to 116.23, 174.32 and 35.09 is: 52.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.23 : 174.32 = 35.09 : x
  2. Step 2: Convert to fraction form
    116.23/174.32 = 35.09/x
  3. Step 3: Cross multiply
    116.23x = 174.32 × 35.09
  4. Step 4: Simplify right side
    116.23x = 6,115.84
  5. Step 5: Solve for x
    x = 6,115.84/116.23
  6. Step 6: Final answer
    x = 52.62

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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.