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Finding the Fourth Proportional to 73.16, 100.96 and 43.64

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Solution

The fourth proportional to 73.16, 100.96 and 43.64 is: 60.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.16 : 100.96 = 43.64 : x
  2. Step 2: Convert to fraction form
    73.16/100.96 = 43.64/x
  3. Step 3: Cross multiply
    73.16x = 100.96 × 43.64
  4. Step 4: Simplify right side
    73.16x = 4,405.53
  5. Step 5: Solve for x
    x = 4,405.53/73.16
  6. Step 6: Final answer
    x = 60.22

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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.