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Finding the Fourth Proportional to 127.10, 174.96 and 111.49

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Solution

The fourth proportional to 127.10, 174.96 and 111.49 is: 153.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.10 : 174.96 = 111.49 : x
  2. Step 2: Convert to fraction form
    127.10/174.96 = 111.49/x
  3. Step 3: Cross multiply
    127.10x = 174.96 × 111.49
  4. Step 4: Simplify right side
    127.10x = 19,505.85
  5. Step 5: Solve for x
    x = 19,505.85/127.10
  6. Step 6: Final answer
    x = 153.47

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