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Finding the Fourth Proportional to 74.75, 103.14 and 52.92

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Solution

The fourth proportional to 74.75, 103.14 and 52.92 is: 73.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.75 : 103.14 = 52.92 : x
  2. Step 2: Convert to fraction form
    74.75/103.14 = 52.92/x
  3. Step 3: Cross multiply
    74.75x = 103.14 × 52.92
  4. Step 4: Simplify right side
    74.75x = 5,458.17
  5. Step 5: Solve for x
    x = 5,458.17/74.75
  6. Step 6: Final answer
    x = 73.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.