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Finding the Fourth Proportional to 59.52, 81.90 and 57.90

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Solution

The fourth proportional to 59.52, 81.90 and 57.90 is: 79.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.52 : 81.90 = 57.90 : x
  2. Step 2: Convert to fraction form
    59.52/81.90 = 57.90/x
  3. Step 3: Cross multiply
    59.52x = 81.90 × 57.90
  4. Step 4: Simplify right side
    59.52x = 4,742.01
  5. Step 5: Solve for x
    x = 4,742.01/59.52
  6. Step 6: Final answer
    x = 79.67

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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.