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Finding the Fourth Proportional to 62.23, 85.91 and 47.74

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Solution

The fourth proportional to 62.23, 85.91 and 47.74 is: 65.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.23 : 85.91 = 47.74 : x
  2. Step 2: Convert to fraction form
    62.23/85.91 = 47.74/x
  3. Step 3: Cross multiply
    62.23x = 85.91 × 47.74
  4. Step 4: Simplify right side
    62.23x = 4,101.34
  5. Step 5: Solve for x
    x = 4,101.34/62.23
  6. Step 6: Final answer
    x = 65.91

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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.