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Finding the Fourth Proportional to 53.92, 74.46 and 53.20

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Solution

The fourth proportional to 53.92, 74.46 and 53.20 is: 73.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.92 : 74.46 = 53.20 : x
  2. Step 2: Convert to fraction form
    53.92/74.46 = 53.20/x
  3. Step 3: Cross multiply
    53.92x = 74.46 × 53.20
  4. Step 4: Simplify right side
    53.92x = 3,961.27
  5. Step 5: Solve for x
    x = 3,961.27/53.92
  6. Step 6: Final answer
    x = 73.47

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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.