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Finding the Fourth Proportional to 43.47, 60.02 and 34.59

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Solution

The fourth proportional to 43.47, 60.02 and 34.59 is: 47.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.47 : 60.02 = 34.59 : x
  2. Step 2: Convert to fraction form
    43.47/60.02 = 34.59/x
  3. Step 3: Cross multiply
    43.47x = 60.02 × 34.59
  4. Step 4: Simplify right side
    43.47x = 2,076.20
  5. Step 5: Solve for x
    x = 2,076.20/43.47
  6. Step 6: Final answer
    x = 47.76

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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.