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Finding the Fourth Proportional to 127.90, 190.98 and 105.12

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Solution

The fourth proportional to 127.90, 190.98 and 105.12 is: 156.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.90 : 190.98 = 105.12 : x
  2. Step 2: Convert to fraction form
    127.90/190.98 = 105.12/x
  3. Step 3: Cross multiply
    127.90x = 190.98 × 105.12
  4. Step 4: Simplify right side
    127.90x = 20,075.82
  5. Step 5: Solve for x
    x = 20,075.82/127.90
  6. Step 6: Final answer
    x = 156.96

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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.