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Finding the Fourth Proportional to 164.42, 246.53 and 106.57

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Solution

The fourth proportional to 164.42, 246.53 and 106.57 is: 159.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.42 : 246.53 = 106.57 : x
  2. Step 2: Convert to fraction form
    164.42/246.53 = 106.57/x
  3. Step 3: Cross multiply
    164.42x = 246.53 × 106.57
  4. Step 4: Simplify right side
    164.42x = 26,272.17
  5. Step 5: Solve for x
    x = 26,272.17/164.42
  6. Step 6: Final answer
    x = 159.79

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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.