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Finding the Fourth Proportional to 128.00, 192.00 and 36.70

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Solution

The fourth proportional to 128.00, 192.00 and 36.70 is: 55.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.00 : 192.00 = 36.70 : x
  2. Step 2: Convert to fraction form
    128.00/192.00 = 36.70/x
  3. Step 3: Cross multiply
    128.00x = 192.00 × 36.70
  4. Step 4: Simplify right side
    128.00x = 7,045.26
  5. Step 5: Solve for x
    x = 7,045.26/128.00
  6. Step 6: Final answer
    x = 55.04

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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.