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Finding the Fourth Proportional to 74.68, 102.92 and 52.84

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Solution

The fourth proportional to 74.68, 102.92 and 52.84 is: 72.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.68 : 102.92 = 52.84 : x
  2. Step 2: Convert to fraction form
    74.68/102.92 = 52.84/x
  3. Step 3: Cross multiply
    74.68x = 102.92 × 52.84
  4. Step 4: Simplify right side
    74.68x = 5,438.29
  5. Step 5: Solve for x
    x = 5,438.29/74.68
  6. Step 6: Final answer
    x = 72.82

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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.