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Finding the Fourth Proportional to 74.04, 102.34 and 73.42

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Solution

The fourth proportional to 74.04, 102.34 and 73.42 is: 101.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.04 : 102.34 = 73.42 : x
  2. Step 2: Convert to fraction form
    74.04/102.34 = 73.42/x
  3. Step 3: Cross multiply
    74.04x = 102.34 × 73.42
  4. Step 4: Simplify right side
    74.04x = 7,513.80
  5. Step 5: Solve for x
    x = 7,513.80/74.04
  6. Step 6: Final answer
    x = 101.48

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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.