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Finding the Fourth Proportional to 101.03, 151.48 and 81.88

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Solution

The fourth proportional to 101.03, 151.48 and 81.88 is: 122.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.03 : 151.48 = 81.88 : x
  2. Step 2: Convert to fraction form
    101.03/151.48 = 81.88/x
  3. Step 3: Cross multiply
    101.03x = 151.48 × 81.88
  4. Step 4: Simplify right side
    101.03x = 12,403.18
  5. Step 5: Solve for x
    x = 12,403.18/101.03
  6. Step 6: Final answer
    x = 122.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.