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Finding the Fourth Proportional to 164.49, 246.71 and 48.95

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Solution

The fourth proportional to 164.49, 246.71 and 48.95 is: 73.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.49 : 246.71 = 48.95 : x
  2. Step 2: Convert to fraction form
    164.49/246.71 = 48.95/x
  3. Step 3: Cross multiply
    164.49x = 246.71 × 48.95
  4. Step 4: Simplify right side
    164.49x = 12,076.45
  5. Step 5: Solve for x
    x = 12,076.45/164.49
  6. Step 6: Final answer
    x = 73.42

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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.