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Finding the Fourth Proportional to 128.51, 192.80 and 37.21

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Solution

The fourth proportional to 128.51, 192.80 and 37.21 is: 55.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.51 : 192.80 = 37.21 : x
  2. Step 2: Convert to fraction form
    128.51/192.80 = 37.21/x
  3. Step 3: Cross multiply
    128.51x = 192.80 × 37.21
  4. Step 4: Simplify right side
    128.51x = 7,173.70
  5. Step 5: Solve for x
    x = 7,173.70/128.51
  6. Step 6: Final answer
    x = 55.82

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