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Finding the Fourth Proportional to 127.60, 176.08 and 77.80

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Solution

The fourth proportional to 127.60, 176.08 and 77.80 is: 107.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.60 : 176.08 = 77.80 : x
  2. Step 2: Convert to fraction form
    127.60/176.08 = 77.80/x
  3. Step 3: Cross multiply
    127.60x = 176.08 × 77.80
  4. Step 4: Simplify right side
    127.60x = 13,699.02
  5. Step 5: Solve for x
    x = 13,699.02/127.60
  6. Step 6: Final answer
    x = 107.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.