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Finding the Fourth Proportional to 135.72, 188.13 and 127.44

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Solution

The fourth proportional to 135.72, 188.13 and 127.44 is: 176.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.72 : 188.13 = 127.44 : x
  2. Step 2: Convert to fraction form
    135.72/188.13 = 127.44/x
  3. Step 3: Cross multiply
    135.72x = 188.13 × 127.44
  4. Step 4: Simplify right side
    135.72x = 23,975.29
  5. Step 5: Solve for x
    x = 23,975.29/135.72
  6. Step 6: Final answer
    x = 176.65

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.