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Finding the Fourth Proportional to 127.80, 190.53 and 116.40

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Solution

The fourth proportional to 127.80, 190.53 and 116.40 is: 173.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.80 : 190.53 = 116.40 : x
  2. Step 2: Convert to fraction form
    127.80/190.53 = 116.40/x
  3. Step 3: Cross multiply
    127.80x = 190.53 × 116.40
  4. Step 4: Simplify right side
    127.80x = 22,177.69
  5. Step 5: Solve for x
    x = 22,177.69/127.80
  6. Step 6: Final answer
    x = 173.53

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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.