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Finding the Fourth Proportional to 127.32, 175.59 and 83.07

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Solution

The fourth proportional to 127.32, 175.59 and 83.07 is: 114.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.32 : 175.59 = 83.07 : x
  2. Step 2: Convert to fraction form
    127.32/175.59 = 83.07/x
  3. Step 3: Cross multiply
    127.32x = 175.59 × 83.07
  4. Step 4: Simplify right side
    127.32x = 14,586.26
  5. Step 5: Solve for x
    x = 14,586.26/127.32
  6. Step 6: Final answer
    x = 114.56

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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.