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Finding the Fourth Proportional to 127.23, 190.69 and 54.08

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Solution

The fourth proportional to 127.23, 190.69 and 54.08 is: 81.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.23 : 190.69 = 54.08 : x
  2. Step 2: Convert to fraction form
    127.23/190.69 = 54.08/x
  3. Step 3: Cross multiply
    127.23x = 190.69 × 54.08
  4. Step 4: Simplify right side
    127.23x = 10,312.24
  5. Step 5: Solve for x
    x = 10,312.24/127.23
  6. Step 6: Final answer
    x = 81.05

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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.