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Finding the Fourth Proportional to 164.23, 246.32 and 77.53

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Solution

The fourth proportional to 164.23, 246.32 and 77.53 is: 116.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.23 : 246.32 = 77.53 : x
  2. Step 2: Convert to fraction form
    164.23/246.32 = 77.53/x
  3. Step 3: Cross multiply
    164.23x = 246.32 × 77.53
  4. Step 4: Simplify right side
    164.23x = 19,097.61
  5. Step 5: Solve for x
    x = 19,097.61/164.23
  6. Step 6: Final answer
    x = 116.29

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Why These Related Problems?

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