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Finding the Fourth Proportional to 127.65, 190.65 and 114.15

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Solution

The fourth proportional to 127.65, 190.65 and 114.15 is: 170.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.65 : 190.65 = 114.15 : x
  2. Step 2: Convert to fraction form
    127.65/190.65 = 114.15/x
  3. Step 3: Cross multiply
    127.65x = 190.65 × 114.15
  4. Step 4: Simplify right side
    127.65x = 21,762.70
  5. Step 5: Solve for x
    x = 21,762.70/127.65
  6. Step 6: Final answer
    x = 170.49

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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.