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Finding the Fourth Proportional to 114.80, 164.26 and 114.80

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Solution

The fourth proportional to 114.80, 164.26 and 114.80 is: 164.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.80 : 164.26 = 114.80 : x
  2. Step 2: Convert to fraction form
    114.80/164.26 = 114.80/x
  3. Step 3: Cross multiply
    114.80x = 164.26 × 114.80
  4. Step 4: Simplify right side
    114.80x = 18,857.05
  5. Step 5: Solve for x
    x = 18,857.05/114.80
  6. Step 6: Final answer
    x = 164.26

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.