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Finding the Fourth Proportional to 73.56, 101.42 and 51.69

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Solution

The fourth proportional to 73.56, 101.42 and 51.69 is: 71.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.56 : 101.42 = 51.69 : x
  2. Step 2: Convert to fraction form
    73.56/101.42 = 51.69/x
  3. Step 3: Cross multiply
    73.56x = 101.42 × 51.69
  4. Step 4: Simplify right side
    73.56x = 5,242.72
  5. Step 5: Solve for x
    x = 5,242.72/73.56
  6. Step 6: Final answer
    x = 71.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.