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Finding the Fourth Proportional to 59.77, 82.49 and 35.20

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Solution

The fourth proportional to 59.77, 82.49 and 35.20 is: 48.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.77 : 82.49 = 35.20 : x
  2. Step 2: Convert to fraction form
    59.77/82.49 = 35.20/x
  3. Step 3: Cross multiply
    59.77x = 82.49 × 35.20
  4. Step 4: Simplify right side
    59.77x = 2,903.93
  5. Step 5: Solve for x
    x = 2,903.93/59.77
  6. Step 6: Final answer
    x = 48.58

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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.