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Finding the Fourth Proportional to 140.93, 211.32 and 54.23

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Solution

The fourth proportional to 140.93, 211.32 and 54.23 is: 81.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.93 : 211.32 = 54.23 : x
  2. Step 2: Convert to fraction form
    140.93/211.32 = 54.23/x
  3. Step 3: Cross multiply
    140.93x = 211.32 × 54.23
  4. Step 4: Simplify right side
    140.93x = 11,460.41
  5. Step 5: Solve for x
    x = 11,460.41/140.93
  6. Step 6: Final answer
    x = 81.32

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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.