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Finding the Fourth Proportional to 127.80, 172.80 and 127.80

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Solution

The fourth proportional to 127.80, 172.80 and 127.80 is: 172.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.80 : 172.80 = 127.80 : x
  2. Step 2: Convert to fraction form
    127.80/172.80 = 127.80/x
  3. Step 3: Cross multiply
    127.80x = 172.80 × 127.80
  4. Step 4: Simplify right side
    127.80x = 22,083.84
  5. Step 5: Solve for x
    x = 22,083.84/127.80
  6. Step 6: Final answer
    x = 172.80

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.