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Finding the Fourth Proportional to 76.63, 105.68 and 51.74

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Solution

The fourth proportional to 76.63, 105.68 and 51.74 is: 71.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.63 : 105.68 = 51.74 : x
  2. Step 2: Convert to fraction form
    76.63/105.68 = 51.74/x
  3. Step 3: Cross multiply
    76.63x = 105.68 × 51.74
  4. Step 4: Simplify right side
    76.63x = 5,468.28
  5. Step 5: Solve for x
    x = 5,468.28/76.63
  6. Step 6: Final answer
    x = 71.36

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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.