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Finding the Fourth Proportional to 53.79, 74.21 and 39.23

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Solution

The fourth proportional to 53.79, 74.21 and 39.23 is: 54.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.79 : 74.21 = 39.23 : x
  2. Step 2: Convert to fraction form
    53.79/74.21 = 39.23/x
  3. Step 3: Cross multiply
    53.79x = 74.21 × 39.23
  4. Step 4: Simplify right side
    53.79x = 2,911.26
  5. Step 5: Solve for x
    x = 2,911.26/53.79
  6. Step 6: Final answer
    x = 54.12

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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.