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Finding the Fourth Proportional to 140.76, 193.65 and 128.34

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Solution

The fourth proportional to 140.76, 193.65 and 128.34 is: 176.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.76 : 193.65 = 128.34 : x
  2. Step 2: Convert to fraction form
    140.76/193.65 = 128.34/x
  3. Step 3: Cross multiply
    140.76x = 193.65 × 128.34
  4. Step 4: Simplify right side
    140.76x = 24,853.04
  5. Step 5: Solve for x
    x = 24,853.04/140.76
  6. Step 6: Final answer
    x = 176.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.