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Finding the Fourth Proportional to 135.69, 202.24 and 128.00

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Solution

The fourth proportional to 135.69, 202.24 and 128.00 is: 190.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.69 : 202.24 = 128.00 : x
  2. Step 2: Convert to fraction form
    135.69/202.24 = 128.00/x
  3. Step 3: Cross multiply
    135.69x = 202.24 × 128.00
  4. Step 4: Simplify right side
    135.69x = 25,885.07
  5. Step 5: Solve for x
    x = 25,885.07/135.69
  6. Step 6: Final answer
    x = 190.77

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