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Finding the Fourth Proportional to 127.23, 175.64 and 97.77

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Solution

The fourth proportional to 127.23, 175.64 and 97.77 is: 134.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.23 : 175.64 = 97.77 : x
  2. Step 2: Convert to fraction form
    127.23/175.64 = 97.77/x
  3. Step 3: Cross multiply
    127.23x = 175.64 × 97.77
  4. Step 4: Simplify right side
    127.23x = 17,172.32
  5. Step 5: Solve for x
    x = 17,172.32/127.23
  6. Step 6: Final answer
    x = 134.97

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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.