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Finding the Fourth Proportional to 53, 72.96 and 47.54

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Solution

The fourth proportional to 53, 72.96 and 47.54 is: 65.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    53 : 72.96 = 47.54 : x
  2. Step 2: Convert to fraction form
    53/72.96 = 47.54/x
  3. Step 3: Cross multiply
    53x = 72.96 × 47.54
  4. Step 4: Simplify right side
    53x = 3,468.52
  5. Step 5: Solve for x
    x = 3,468.52/53
  6. Step 6: Final answer
    x = 65.44

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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.