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Finding the Fourth Proportional to 74.67, 103.04 and 43.59

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Solution

The fourth proportional to 74.67, 103.04 and 43.59 is: 60.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.67 : 103.04 = 43.59 : x
  2. Step 2: Convert to fraction form
    74.67/103.04 = 43.59/x
  3. Step 3: Cross multiply
    74.67x = 103.04 × 43.59
  4. Step 4: Simplify right side
    74.67x = 4,490.78
  5. Step 5: Solve for x
    x = 4,490.78/74.67
  6. Step 6: Final answer
    x = 60.15

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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.