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Finding the Fourth Proportional to 158.15, 218.50 and 102.87

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Solution

The fourth proportional to 158.15, 218.50 and 102.87 is: 142.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.15 : 218.50 = 102.87 : x
  2. Step 2: Convert to fraction form
    158.15/218.50 = 102.87/x
  3. Step 3: Cross multiply
    158.15x = 218.50 × 102.87
  4. Step 4: Simplify right side
    158.15x = 22,476.84
  5. Step 5: Solve for x
    x = 22,476.84/158.15
  6. Step 6: Final answer
    x = 142.12

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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.