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Finding the Fourth Proportional to 127.40, 190.88 and 123.17

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Solution

The fourth proportional to 127.40, 190.88 and 123.17 is: 184.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.40 : 190.88 = 123.17 : x
  2. Step 2: Convert to fraction form
    127.40/190.88 = 123.17/x
  3. Step 3: Cross multiply
    127.40x = 190.88 × 123.17
  4. Step 4: Simplify right side
    127.40x = 23,510.07
  5. Step 5: Solve for x
    x = 23,510.07/127.40
  6. Step 6: Final answer
    x = 184.54

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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.