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Finding the Fourth Proportional to 84.09, 125.75 and 75.00

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Solution

The fourth proportional to 84.09, 125.75 and 75.00 is: 112.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.09 : 125.75 = 75.00 : x
  2. Step 2: Convert to fraction form
    84.09/125.75 = 75.00/x
  3. Step 3: Cross multiply
    84.09x = 125.75 × 75.00
  4. Step 4: Simplify right side
    84.09x = 9,430.62
  5. Step 5: Solve for x
    x = 9,430.62/84.09
  6. Step 6: Final answer
    x = 112.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.