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Finding the Fourth Proportional to 59.69, 82.80 and 57.53

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Solution

The fourth proportional to 59.69, 82.80 and 57.53 is: 79.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.69 : 82.80 = 57.53 : x
  2. Step 2: Convert to fraction form
    59.69/82.80 = 57.53/x
  3. Step 3: Cross multiply
    59.69x = 82.80 × 57.53
  4. Step 4: Simplify right side
    59.69x = 4,763.29
  5. Step 5: Solve for x
    x = 4,763.29/59.69
  6. Step 6: Final answer
    x = 79.81

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.