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Finding the Fourth Proportional to 158.04, 217.75 and 121.08

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Solution

The fourth proportional to 158.04, 217.75 and 121.08 is: 166.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.04 : 217.75 = 121.08 : x
  2. Step 2: Convert to fraction form
    158.04/217.75 = 121.08/x
  3. Step 3: Cross multiply
    158.04x = 217.75 × 121.08
  4. Step 4: Simplify right side
    158.04x = 26,365.17
  5. Step 5: Solve for x
    x = 26,365.17/158.04
  6. Step 6: Final answer
    x = 166.83

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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.