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Finding the Fourth Proportional to 127.70, 190.58 and 114.03

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Solution

The fourth proportional to 127.70, 190.58 and 114.03 is: 170.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.70 : 190.58 = 114.03 : x
  2. Step 2: Convert to fraction form
    127.70/190.58 = 114.03/x
  3. Step 3: Cross multiply
    127.70x = 190.58 × 114.03
  4. Step 4: Simplify right side
    127.70x = 21,731.84
  5. Step 5: Solve for x
    x = 21,731.84/127.70
  6. Step 6: Final answer
    x = 170.18

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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.