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Finding the Fourth Proportional to 53.01, 73.11 and 34.35

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Solution

The fourth proportional to 53.01, 73.11 and 34.35 is: 47.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.01 : 73.11 = 34.35 : x
  2. Step 2: Convert to fraction form
    53.01/73.11 = 34.35/x
  3. Step 3: Cross multiply
    53.01x = 73.11 × 34.35
  4. Step 4: Simplify right side
    53.01x = 2,511.33
  5. Step 5: Solve for x
    x = 2,511.33/53.01
  6. Step 6: Final answer
    x = 47.37

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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.