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Finding the Fourth Proportional to 73.56, 101.30 and 61.22

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Solution

The fourth proportional to 73.56, 101.30 and 61.22 is: 84.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.56 : 101.30 = 61.22 : x
  2. Step 2: Convert to fraction form
    73.56/101.30 = 61.22/x
  3. Step 3: Cross multiply
    73.56x = 101.30 × 61.22
  4. Step 4: Simplify right side
    73.56x = 6,201.59
  5. Step 5: Solve for x
    x = 6,201.59/73.56
  6. Step 6: Final answer
    x = 84.31

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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.