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Finding the Fourth Proportional to 43.61, 59.67 and 42.66

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Solution

The fourth proportional to 43.61, 59.67 and 42.66 is: 58.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.61 : 59.67 = 42.66 : x
  2. Step 2: Convert to fraction form
    43.61/59.67 = 42.66/x
  3. Step 3: Cross multiply
    43.61x = 59.67 × 42.66
  4. Step 4: Simplify right side
    43.61x = 2,545.52
  5. Step 5: Solve for x
    x = 2,545.52/43.61
  6. Step 6: Final answer
    x = 58.38

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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.