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Finding the Fourth Proportional to 74.04, 102.04 and 54.38

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Solution

The fourth proportional to 74.04, 102.04 and 54.38 is: 74.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.04 : 102.04 = 54.38 : x
  2. Step 2: Convert to fraction form
    74.04/102.04 = 54.38/x
  3. Step 3: Cross multiply
    74.04x = 102.04 × 54.38
  4. Step 4: Simplify right side
    74.04x = 5,548.15
  5. Step 5: Solve for x
    x = 5,548.15/74.04
  6. Step 6: Final answer
    x = 74.93

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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.