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Finding the Fourth Proportional to 53.77, 73.93 and 47.89

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Solution

The fourth proportional to 53.77, 73.93 and 47.89 is: 65.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.77 : 73.93 = 47.89 : x
  2. Step 2: Convert to fraction form
    53.77/73.93 = 47.89/x
  3. Step 3: Cross multiply
    53.77x = 73.93 × 47.89
  4. Step 4: Simplify right side
    53.77x = 3,540.14
  5. Step 5: Solve for x
    x = 3,540.14/53.77
  6. Step 6: Final answer
    x = 65.84

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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.