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Finding the Fourth Proportional to 127.50, 190.34 and 110.30

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Solution

The fourth proportional to 127.50, 190.34 and 110.30 is: 164.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.50 : 190.34 = 110.30 : x
  2. Step 2: Convert to fraction form
    127.50/190.34 = 110.30/x
  3. Step 3: Cross multiply
    127.50x = 190.34 × 110.30
  4. Step 4: Simplify right side
    127.50x = 20,994.50
  5. Step 5: Solve for x
    x = 20,994.50/127.50
  6. Step 6: Final answer
    x = 164.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.