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Finding the Fourth Proportional to 99.94, 137.85 and 74.02

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Solution

The fourth proportional to 99.94, 137.85 and 74.02 is: 102.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.94 : 137.85 = 74.02 : x
  2. Step 2: Convert to fraction form
    99.94/137.85 = 74.02/x
  3. Step 3: Cross multiply
    99.94x = 137.85 × 74.02
  4. Step 4: Simplify right side
    99.94x = 10,203.66
  5. Step 5: Solve for x
    x = 10,203.66/99.94
  6. Step 6: Final answer
    x = 102.10

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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.