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Finding the Fourth Proportional to 127.51, 176 and 75.09

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Solution

The fourth proportional to 127.51, 176 and 75.09 is: 103.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.51 : 176 = 75.09 : x
  2. Step 2: Convert to fraction form
    127.51/176 = 75.09/x
  3. Step 3: Cross multiply
    127.51x = 176 × 75.09
  4. Step 4: Simplify right side
    127.51x = 13,215.84
  5. Step 5: Solve for x
    x = 13,215.84/127.51
  6. Step 6: Final answer
    x = 103.65

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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.