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Finding the Fourth Proportional to 73.94, 102.08 and 57.53

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Solution

The fourth proportional to 73.94, 102.08 and 57.53 is: 79.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.94 : 102.08 = 57.53 : x
  2. Step 2: Convert to fraction form
    73.94/102.08 = 57.53/x
  3. Step 3: Cross multiply
    73.94x = 102.08 × 57.53
  4. Step 4: Simplify right side
    73.94x = 5,872.66
  5. Step 5: Solve for x
    x = 5,872.66/73.94
  6. Step 6: Final answer
    x = 79.42

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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.