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Finding the Fourth Proportional to 103.88, 144.48 and 101.66

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Solution

The fourth proportional to 103.88, 144.48 and 101.66 is: 141.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.88 : 144.48 = 101.66 : x
  2. Step 2: Convert to fraction form
    103.88/144.48 = 101.66/x
  3. Step 3: Cross multiply
    103.88x = 144.48 × 101.66
  4. Step 4: Simplify right side
    103.88x = 14,687.50
  5. Step 5: Solve for x
    x = 14,687.50/103.88
  6. Step 6: Final answer
    x = 141.39

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.