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Finding the Fourth Proportional to 73.14, 101.01 and 51.27

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Solution

The fourth proportional to 73.14, 101.01 and 51.27 is: 70.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.14 : 101.01 = 51.27 : x
  2. Step 2: Convert to fraction form
    73.14/101.01 = 51.27/x
  3. Step 3: Cross multiply
    73.14x = 101.01 × 51.27
  4. Step 4: Simplify right side
    73.14x = 5,178.78
  5. Step 5: Solve for x
    x = 5,178.78/73.14
  6. Step 6: Final answer
    x = 70.81

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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.