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Finding the Fourth Proportional to 60.23, 83.04 and 47.09

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Solution

The fourth proportional to 60.23, 83.04 and 47.09 is: 64.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.23 : 83.04 = 47.09 : x
  2. Step 2: Convert to fraction form
    60.23/83.04 = 47.09/x
  3. Step 3: Cross multiply
    60.23x = 83.04 × 47.09
  4. Step 4: Simplify right side
    60.23x = 3,910.35
  5. Step 5: Solve for x
    x = 3,910.35/60.23
  6. Step 6: Final answer
    x = 64.92

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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.