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Finding the Fourth Proportional to 59.34, 81.93 and 42.97

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Solution

The fourth proportional to 59.34, 81.93 and 42.97 is: 59.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.34 : 81.93 = 42.97 : x
  2. Step 2: Convert to fraction form
    59.34/81.93 = 42.97/x
  3. Step 3: Cross multiply
    59.34x = 81.93 × 42.97
  4. Step 4: Simplify right side
    59.34x = 3,520.53
  5. Step 5: Solve for x
    x = 3,520.53/59.34
  6. Step 6: Final answer
    x = 59.33

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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.