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Finding the Fourth Proportional to 138.60, 208.80 and 127.80

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Solution

The fourth proportional to 138.60, 208.80 and 127.80 is: 192.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.60 : 208.80 = 127.80 : x
  2. Step 2: Convert to fraction form
    138.60/208.80 = 127.80/x
  3. Step 3: Cross multiply
    138.60x = 208.80 × 127.80
  4. Step 4: Simplify right side
    138.60x = 26,684.64
  5. Step 5: Solve for x
    x = 26,684.64/138.60
  6. Step 6: Final answer
    x = 192.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.