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Finding the Fourth Proportional to 127.79, 190.76 and 123.50

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Solution

The fourth proportional to 127.79, 190.76 and 123.50 is: 184.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.79 : 190.76 = 123.50 : x
  2. Step 2: Convert to fraction form
    127.79/190.76 = 123.50/x
  3. Step 3: Cross multiply
    127.79x = 190.76 × 123.50
  4. Step 4: Simplify right side
    127.79x = 23,559.65
  5. Step 5: Solve for x
    x = 23,559.65/127.79
  6. Step 6: Final answer
    x = 184.37

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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.