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Finding the Fourth Proportional to 164.09, 246.23 and 87.07

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Solution

The fourth proportional to 164.09, 246.23 and 87.07 is: 130.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.09 : 246.23 = 87.07 : x
  2. Step 2: Convert to fraction form
    164.09/246.23 = 87.07/x
  3. Step 3: Cross multiply
    164.09x = 246.23 × 87.07
  4. Step 4: Simplify right side
    164.09x = 21,439.25
  5. Step 5: Solve for x
    x = 21,439.25/164.09
  6. Step 6: Final answer
    x = 130.66

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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.