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Finding the Fourth Proportional to 193.04, 289.32 and 71.20

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Solution

The fourth proportional to 193.04, 289.32 and 71.20 is: 106.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.04 : 289.32 = 71.20 : x
  2. Step 2: Convert to fraction form
    193.04/289.32 = 71.20/x
  3. Step 3: Cross multiply
    193.04x = 289.32 × 71.20
  4. Step 4: Simplify right side
    193.04x = 20,599.58
  5. Step 5: Solve for x
    x = 20,599.58/193.04
  6. Step 6: Final answer
    x = 106.71

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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.