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Finding the Fourth Proportional to 127.49, 175.49 and 110.06

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Solution

The fourth proportional to 127.49, 175.49 and 110.06 is: 151.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.49 : 175.49 = 110.06 : x
  2. Step 2: Convert to fraction form
    127.49/175.49 = 110.06/x
  3. Step 3: Cross multiply
    127.49x = 175.49 × 110.06
  4. Step 4: Simplify right side
    127.49x = 19,314.43
  5. Step 5: Solve for x
    x = 19,314.43/127.49
  6. Step 6: Final answer
    x = 151.50

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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.