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Finding the Fourth Proportional to 140.54, 210.03 and 132.74

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Solution

The fourth proportional to 140.54, 210.03 and 132.74 is: 198.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.54 : 210.03 = 132.74 : x
  2. Step 2: Convert to fraction form
    140.54/210.03 = 132.74/x
  3. Step 3: Cross multiply
    140.54x = 210.03 × 132.74
  4. Step 4: Simplify right side
    140.54x = 27,878.72
  5. Step 5: Solve for x
    x = 27,878.72/140.54
  6. Step 6: Final answer
    x = 198.37

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Why These Related Problems?

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