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Finding the Fourth Proportional to 75.86, 104.74 and 52.54

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Solution

The fourth proportional to 75.86, 104.74 and 52.54 is: 72.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.86 : 104.74 = 52.54 : x
  2. Step 2: Convert to fraction form
    75.86/104.74 = 52.54/x
  3. Step 3: Cross multiply
    75.86x = 104.74 × 52.54
  4. Step 4: Simplify right side
    75.86x = 5,502.79
  5. Step 5: Solve for x
    x = 5,502.79/75.86
  6. Step 6: Final answer
    x = 72.54

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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.