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Finding the Fourth Proportional to 43.10, 59.15 and 42.33

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Solution

The fourth proportional to 43.10, 59.15 and 42.33 is: 58.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.10 : 59.15 = 42.33 : x
  2. Step 2: Convert to fraction form
    43.10/59.15 = 42.33/x
  3. Step 3: Cross multiply
    43.10x = 59.15 × 42.33
  4. Step 4: Simplify right side
    43.10x = 2,503.93
  5. Step 5: Solve for x
    x = 2,503.93/43.10
  6. Step 6: Final answer
    x = 58.10

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