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Finding the Fourth Proportional to 73.16, 100.96 and 56.81

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Solution

The fourth proportional to 73.16, 100.96 and 56.81 is: 78.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.16 : 100.96 = 56.81 : x
  2. Step 2: Convert to fraction form
    73.16/100.96 = 56.81/x
  3. Step 3: Cross multiply
    73.16x = 100.96 × 56.81
  4. Step 4: Simplify right side
    73.16x = 5,734.89
  5. Step 5: Solve for x
    x = 5,734.89/73.16
  6. Step 6: Final answer
    x = 78.39

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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.