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Finding the Fourth Proportional to 74.08, 111.54 and 69.53

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Solution

The fourth proportional to 74.08, 111.54 and 69.53 is: 104.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.08 : 111.54 = 69.53 : x
  2. Step 2: Convert to fraction form
    74.08/111.54 = 69.53/x
  3. Step 3: Cross multiply
    74.08x = 111.54 × 69.53
  4. Step 4: Simplify right side
    74.08x = 7,755.08
  5. Step 5: Solve for x
    x = 7,755.08/74.08
  6. Step 6: Final answer
    x = 104.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.