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Finding the Fourth Proportional to 103.00, 142.01 and 86.59

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Solution

The fourth proportional to 103.00, 142.01 and 86.59 is: 119.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.00 : 142.01 = 86.59 : x
  2. Step 2: Convert to fraction form
    103.00/142.01 = 86.59/x
  3. Step 3: Cross multiply
    103.00x = 142.01 × 86.59
  4. Step 4: Simplify right side
    103.00x = 12,295.50
  5. Step 5: Solve for x
    x = 12,295.50/103.00
  6. Step 6: Final answer
    x = 119.38

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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.