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Finding the Fourth Proportional to 158.02, 217.96 and 102.84

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Solution

The fourth proportional to 158.02, 217.96 and 102.84 is: 141.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.02 : 217.96 = 102.84 : x
  2. Step 2: Convert to fraction form
    158.02/217.96 = 102.84/x
  3. Step 3: Cross multiply
    158.02x = 217.96 × 102.84
  4. Step 4: Simplify right side
    158.02x = 22,415.01
  5. Step 5: Solve for x
    x = 22,415.01/158.02
  6. Step 6: Final answer
    x = 141.85

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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.