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Finding the Fourth Proportional to 140.10, 193.32 and 106.89

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Solution

The fourth proportional to 140.10, 193.32 and 106.89 is: 147.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.10 : 193.32 = 106.89 : x
  2. Step 2: Convert to fraction form
    140.10/193.32 = 106.89/x
  3. Step 3: Cross multiply
    140.10x = 193.32 × 106.89
  4. Step 4: Simplify right side
    140.10x = 20,663.25
  5. Step 5: Solve for x
    x = 20,663.25/140.10
  6. Step 6: Final answer
    x = 147.49

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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.