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Finding the Fourth Proportional to 149.21, 205.83 and 87.02

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Solution

The fourth proportional to 149.21, 205.83 and 87.02 is: 120.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.21 : 205.83 = 87.02 : x
  2. Step 2: Convert to fraction form
    149.21/205.83 = 87.02/x
  3. Step 3: Cross multiply
    149.21x = 205.83 × 87.02
  4. Step 4: Simplify right side
    149.21x = 17,911.84
  5. Step 5: Solve for x
    x = 17,911.84/149.21
  6. Step 6: Final answer
    x = 120.05

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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.