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Finding the Fourth Proportional to 76.48, 105.56 and 51.90

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Solution

The fourth proportional to 76.48, 105.56 and 51.90 is: 71.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.48 : 105.56 = 51.90 : x
  2. Step 2: Convert to fraction form
    76.48/105.56 = 51.90/x
  3. Step 3: Cross multiply
    76.48x = 105.56 × 51.90
  4. Step 4: Simplify right side
    76.48x = 5,478.57
  5. Step 5: Solve for x
    x = 5,478.57/76.48
  6. Step 6: Final answer
    x = 71.63

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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.