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Finding the Fourth Proportional to 73.94, 102 and 42.42

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Solution

The fourth proportional to 73.94, 102 and 42.42 is: 58.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.94 : 102 = 42.42 : x
  2. Step 2: Convert to fraction form
    73.94/102 = 42.42/x
  3. Step 3: Cross multiply
    73.94x = 102 × 42.42
  4. Step 4: Simplify right side
    73.94x = 4,326.84
  5. Step 5: Solve for x
    x = 4,326.84/73.94
  6. Step 6: Final answer
    x = 58.52

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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.