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Finding the Fourth Proportional to 193.98, 291.03 and 57.04

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Solution

The fourth proportional to 193.98, 291.03 and 57.04 is: 85.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.98 : 291.03 = 57.04 : x
  2. Step 2: Convert to fraction form
    193.98/291.03 = 57.04/x
  3. Step 3: Cross multiply
    193.98x = 291.03 × 57.04
  4. Step 4: Simplify right side
    193.98x = 16,599.41
  5. Step 5: Solve for x
    x = 16,599.41/193.98
  6. Step 6: Final answer
    x = 85.57

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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.