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Finding the Fourth Proportional to 158.08, 236.62 and 114.60

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Solution

The fourth proportional to 158.08, 236.62 and 114.60 is: 171.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.08 : 236.62 = 114.60 : x
  2. Step 2: Convert to fraction form
    158.08/236.62 = 114.60/x
  3. Step 3: Cross multiply
    158.08x = 236.62 × 114.60
  4. Step 4: Simplify right side
    158.08x = 27,116.65
  5. Step 5: Solve for x
    x = 27,116.65/158.08
  6. Step 6: Final answer
    x = 171.54

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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.