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Finding the Fourth Proportional to 59.74, 82.32 and 43.34

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Solution

The fourth proportional to 59.74, 82.32 and 43.34 is: 59.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.74 : 82.32 = 43.34 : x
  2. Step 2: Convert to fraction form
    59.74/82.32 = 43.34/x
  3. Step 3: Cross multiply
    59.74x = 82.32 × 43.34
  4. Step 4: Simplify right side
    59.74x = 3,567.75
  5. Step 5: Solve for x
    x = 3,567.75/59.74
  6. Step 6: Final answer
    x = 59.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.