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Finding the Fourth Proportional to 75.93, 104.71 and 59.57

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Solution

The fourth proportional to 75.93, 104.71 and 59.57 is: 82.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.93 : 104.71 = 59.57 : x
  2. Step 2: Convert to fraction form
    75.93/104.71 = 59.57/x
  3. Step 3: Cross multiply
    75.93x = 104.71 × 59.57
  4. Step 4: Simplify right side
    75.93x = 6,237.57
  5. Step 5: Solve for x
    x = 6,237.57/75.93
  6. Step 6: Final answer
    x = 82.15

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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.