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Finding the Fourth Proportional to 73.86, 101.44 and 61.56

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Solution

The fourth proportional to 73.86, 101.44 and 61.56 is: 84.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.86 : 101.44 = 61.56 : x
  2. Step 2: Convert to fraction form
    73.86/101.44 = 61.56/x
  3. Step 3: Cross multiply
    73.86x = 101.44 × 61.56
  4. Step 4: Simplify right side
    73.86x = 6,244.65
  5. Step 5: Solve for x
    x = 6,244.65/73.86
  6. Step 6: Final answer
    x = 84.55

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.