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Finding the Fourth Proportional to 73.77, 101.89 and 57.43

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Solution

The fourth proportional to 73.77, 101.89 and 57.43 is: 79.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.77 : 101.89 = 57.43 : x
  2. Step 2: Convert to fraction form
    73.77/101.89 = 57.43/x
  3. Step 3: Cross multiply
    73.77x = 101.89 × 57.43
  4. Step 4: Simplify right side
    73.77x = 5,851.54
  5. Step 5: Solve for x
    x = 5,851.54/73.77
  6. Step 6: Final answer
    x = 79.33

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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.