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Finding the Fourth Proportional to 114.00, 170.92 and 75.36

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Solution

The fourth proportional to 114.00, 170.92 and 75.36 is: 112.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.00 : 170.92 = 75.36 : x
  2. Step 2: Convert to fraction form
    114.00/170.92 = 75.36/x
  3. Step 3: Cross multiply
    114.00x = 170.92 × 75.36
  4. Step 4: Simplify right side
    114.00x = 12,879.73
  5. Step 5: Solve for x
    x = 12,879.73/114.00
  6. Step 6: Final answer
    x = 112.99

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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.