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Finding the Fourth Proportional to 53.79, 74.20 and 34.12

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Solution

The fourth proportional to 53.79, 74.20 and 34.12 is: 47.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.79 : 74.20 = 34.12 : x
  2. Step 2: Convert to fraction form
    53.79/74.20 = 34.12/x
  3. Step 3: Cross multiply
    53.79x = 74.20 × 34.12
  4. Step 4: Simplify right side
    53.79x = 2,531.70
  5. Step 5: Solve for x
    x = 2,531.70/53.79
  6. Step 6: Final answer
    x = 47.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.