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Finding the Fourth Proportional to 43.47, 59.65 and 42.84

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Solution

The fourth proportional to 43.47, 59.65 and 42.84 is: 58.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.47 : 59.65 = 42.84 : x
  2. Step 2: Convert to fraction form
    43.47/59.65 = 42.84/x
  3. Step 3: Cross multiply
    43.47x = 59.65 × 42.84
  4. Step 4: Simplify right side
    43.47x = 2,555.30
  5. Step 5: Solve for x
    x = 2,555.30/43.47
  6. Step 6: Final answer
    x = 58.78

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.