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Finding the Fourth Proportional to 140.48, 193.84 and 116.64

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Solution

The fourth proportional to 140.48, 193.84 and 116.64 is: 160.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.48 : 193.84 = 116.64 : x
  2. Step 2: Convert to fraction form
    140.48/193.84 = 116.64/x
  3. Step 3: Cross multiply
    140.48x = 193.84 × 116.64
  4. Step 4: Simplify right side
    140.48x = 22,609.50
  5. Step 5: Solve for x
    x = 22,609.50/140.48
  6. Step 6: Final answer
    x = 160.94

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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.