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Finding the Fourth Proportional to 114.59, 172.07 and 109.26

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Solution

The fourth proportional to 114.59, 172.07 and 109.26 is: 164.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.59 : 172.07 = 109.26 : x
  2. Step 2: Convert to fraction form
    114.59/172.07 = 109.26/x
  3. Step 3: Cross multiply
    114.59x = 172.07 × 109.26
  4. Step 4: Simplify right side
    114.59x = 18,800.37
  5. Step 5: Solve for x
    x = 18,800.37/114.59
  6. Step 6: Final answer
    x = 164.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.