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Finding the Fourth Proportional to 74.11, 102.19 and 53.49

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Solution

The fourth proportional to 74.11, 102.19 and 53.49 is: 73.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.11 : 102.19 = 53.49 : x
  2. Step 2: Convert to fraction form
    74.11/102.19 = 53.49/x
  3. Step 3: Cross multiply
    74.11x = 102.19 × 53.49
  4. Step 4: Simplify right side
    74.11x = 5,466.14
  5. Step 5: Solve for x
    x = 5,466.14/74.11
  6. Step 6: Final answer
    x = 73.76

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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.