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Finding the Fourth Proportional to 61.45, 85.23 and 59.78

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Solution

The fourth proportional to 61.45, 85.23 and 59.78 is: 82.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.45 : 85.23 = 59.78 : x
  2. Step 2: Convert to fraction form
    61.45/85.23 = 59.78/x
  3. Step 3: Cross multiply
    61.45x = 85.23 × 59.78
  4. Step 4: Simplify right side
    61.45x = 5,095.26
  5. Step 5: Solve for x
    x = 5,095.26/61.45
  6. Step 6: Final answer
    x = 82.92

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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.