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Finding the Fourth Proportional to 127.64, 175.42 and 110.36

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Solution

The fourth proportional to 127.64, 175.42 and 110.36 is: 151.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.64 : 175.42 = 110.36 : x
  2. Step 2: Convert to fraction form
    127.64/175.42 = 110.36/x
  3. Step 3: Cross multiply
    127.64x = 175.42 × 110.36
  4. Step 4: Simplify right side
    127.64x = 19,359.35
  5. Step 5: Solve for x
    x = 19,359.35/127.64
  6. Step 6: Final answer
    x = 151.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.