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Finding the Fourth Proportional to 127.61, 175.99 and 109.07

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Solution

The fourth proportional to 127.61, 175.99 and 109.07 is: 150.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.61 : 175.99 = 109.07 : x
  2. Step 2: Convert to fraction form
    127.61/175.99 = 109.07/x
  3. Step 3: Cross multiply
    127.61x = 175.99 × 109.07
  4. Step 4: Simplify right side
    127.61x = 19,194.08
  5. Step 5: Solve for x
    x = 19,194.08/127.61
  6. Step 6: Final answer
    x = 150.42

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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.