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Finding the Fourth Proportional to 50.50, 75.73 and 17.99

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Solution

The fourth proportional to 50.50, 75.73 and 17.99 is: 26.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.50 : 75.73 = 17.99 : x
  2. Step 2: Convert to fraction form
    50.50/75.73 = 17.99/x
  3. Step 3: Cross multiply
    50.50x = 75.73 × 17.99
  4. Step 4: Simplify right side
    50.50x = 1,362.29
  5. Step 5: Solve for x
    x = 1,362.29/50.50
  6. Step 6: Final answer
    x = 26.98

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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.