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Finding the Fourth Proportional to 127.48, 190.37 and 123.16

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Solution

The fourth proportional to 127.48, 190.37 and 123.16 is: 183.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.48 : 190.37 = 123.16 : x
  2. Step 2: Convert to fraction form
    127.48/190.37 = 123.16/x
  3. Step 3: Cross multiply
    127.48x = 190.37 × 123.16
  4. Step 4: Simplify right side
    127.48x = 23,445.97
  5. Step 5: Solve for x
    x = 23,445.97/127.48
  6. Step 6: Final answer
    x = 183.92

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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.