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Finding the Fourth Proportional to 73.97, 102.07 and 42.02

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Solution

The fourth proportional to 73.97, 102.07 and 42.02 is: 57.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.97 : 102.07 = 42.02 : x
  2. Step 2: Convert to fraction form
    73.97/102.07 = 42.02/x
  3. Step 3: Cross multiply
    73.97x = 102.07 × 42.02
  4. Step 4: Simplify right side
    73.97x = 4,289.34
  5. Step 5: Solve for x
    x = 4,289.34/73.97
  6. Step 6: Final answer
    x = 57.99

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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.