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Finding the Fourth Proportional to 109.98, 164.73 and 49.02

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Solution

The fourth proportional to 109.98, 164.73 and 49.02 is: 73.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.98 : 164.73 = 49.02 : x
  2. Step 2: Convert to fraction form
    109.98/164.73 = 49.02/x
  3. Step 3: Cross multiply
    109.98x = 164.73 × 49.02
  4. Step 4: Simplify right side
    109.98x = 8,075.06
  5. Step 5: Solve for x
    x = 8,075.06/109.98
  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.