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Finding the Fourth Proportional to 73.80, 110.84 and 49.50

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Solution

The fourth proportional to 73.80, 110.84 and 49.50 is: 74.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.80 : 110.84 = 49.50 : x
  2. Step 2: Convert to fraction form
    73.80/110.84 = 49.50/x
  3. Step 3: Cross multiply
    73.80x = 110.84 × 49.50
  4. Step 4: Simplify right side
    73.80x = 5,486.33
  5. Step 5: Solve for x
    x = 5,486.33/73.80
  6. Step 6: Final answer
    x = 74.34

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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.