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Finding the Fourth Proportional to 73.85, 102 and 56.45

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Solution

The fourth proportional to 73.85, 102 and 56.45 is: 77.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.85 : 102 = 56.45 : x
  2. Step 2: Convert to fraction form
    73.85/102 = 56.45/x
  3. Step 3: Cross multiply
    73.85x = 102 × 56.45
  4. Step 4: Simplify right side
    73.85x = 5,757.90
  5. Step 5: Solve for x
    x = 5,757.90/73.85
  6. Step 6: Final answer
    x = 77.97

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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.