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Finding the Fourth Proportional to 193.10, 289.65 and 77.54

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Solution

The fourth proportional to 193.10, 289.65 and 77.54 is: 116.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.10 : 289.65 = 77.54 : x
  2. Step 2: Convert to fraction form
    193.10/289.65 = 77.54/x
  3. Step 3: Cross multiply
    193.10x = 289.65 × 77.54
  4. Step 4: Simplify right side
    193.10x = 22,460.94
  5. Step 5: Solve for x
    x = 22,460.94/193.10
  6. Step 6: Final answer
    x = 116.32

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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.