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Finding the Fourth Proportional to 164.42, 246.55 and 73.07

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Solution

The fourth proportional to 164.42, 246.55 and 73.07 is: 109.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.42 : 246.55 = 73.07 : x
  2. Step 2: Convert to fraction form
    164.42/246.55 = 73.07/x
  3. Step 3: Cross multiply
    164.42x = 246.55 × 73.07
  4. Step 4: Simplify right side
    164.42x = 18,015.63
  5. Step 5: Solve for x
    x = 18,015.63/164.42
  6. Step 6: Final answer
    x = 109.57

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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.