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Finding the Fourth Proportional to 53.93, 73.84 and 53.39

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Solution

The fourth proportional to 53.93, 73.84 and 53.39 is: 73.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.93 : 73.84 = 53.39 : x
  2. Step 2: Convert to fraction form
    53.93/73.84 = 53.39/x
  3. Step 3: Cross multiply
    53.93x = 73.84 × 53.39
  4. Step 4: Simplify right side
    53.93x = 3,942.32
  5. Step 5: Solve for x
    x = 3,942.32/53.93
  6. Step 6: Final answer
    x = 73.10

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.