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Finding the Fourth Proportional to 75.23, 103.70 and 57.77

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Solution

The fourth proportional to 75.23, 103.70 and 57.77 is: 79.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.23 : 103.70 = 57.77 : x
  2. Step 2: Convert to fraction form
    75.23/103.70 = 57.77/x
  3. Step 3: Cross multiply
    75.23x = 103.70 × 57.77
  4. Step 4: Simplify right side
    75.23x = 5,990.37
  5. Step 5: Solve for x
    x = 5,990.37/75.23
  6. Step 6: Final answer
    x = 79.63

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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.