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Finding the Fourth Proportional to 159.08, 237.69 and 110.60

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Solution

The fourth proportional to 159.08, 237.69 and 110.60 is: 165.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.08 : 237.69 = 110.60 : x
  2. Step 2: Convert to fraction form
    159.08/237.69 = 110.60/x
  3. Step 3: Cross multiply
    159.08x = 237.69 × 110.60
  4. Step 4: Simplify right side
    159.08x = 26,288.51
  5. Step 5: Solve for x
    x = 26,288.51/159.08
  6. Step 6: Final answer
    x = 165.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.