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Finding the Fourth Proportional to 164.58, 246.85 and 54.90

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Solution

The fourth proportional to 164.58, 246.85 and 54.90 is: 82.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.58 : 246.85 = 54.90 : x
  2. Step 2: Convert to fraction form
    164.58/246.85 = 54.90/x
  3. Step 3: Cross multiply
    164.58x = 246.85 × 54.90
  4. Step 4: Simplify right side
    164.58x = 13,552.62
  5. Step 5: Solve for x
    x = 13,552.62/164.58
  6. Step 6: Final answer
    x = 82.35

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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.