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Finding the Fourth Proportional to 128.00, 190.91 and 114.35

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Solution

The fourth proportional to 128.00, 190.91 and 114.35 is: 170.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.00 : 190.91 = 114.35 : x
  2. Step 2: Convert to fraction form
    128.00/190.91 = 114.35/x
  3. Step 3: Cross multiply
    128.00x = 190.91 × 114.35
  4. Step 4: Simplify right side
    128.00x = 21,829.89
  5. Step 5: Solve for x
    x = 21,829.89/128.00
  6. Step 6: Final answer
    x = 170.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.