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Finding the Fourth Proportional to 73.75, 101.78 and 51.97

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Solution

The fourth proportional to 73.75, 101.78 and 51.97 is: 71.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.75 : 101.78 = 51.97 : x
  2. Step 2: Convert to fraction form
    73.75/101.78 = 51.97/x
  3. Step 3: Cross multiply
    73.75x = 101.78 × 51.97
  4. Step 4: Simplify right side
    73.75x = 5,289.51
  5. Step 5: Solve for x
    x = 5,289.51/73.75
  6. Step 6: Final answer
    x = 71.72

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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.