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Finding the Fourth Proportional to 110.23, 152.09 and 72.88

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Solution

The fourth proportional to 110.23, 152.09 and 72.88 is: 100.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.23 : 152.09 = 72.88 : x
  2. Step 2: Convert to fraction form
    110.23/152.09 = 72.88/x
  3. Step 3: Cross multiply
    110.23x = 152.09 × 72.88
  4. Step 4: Simplify right side
    110.23x = 11,083.85
  5. Step 5: Solve for x
    x = 11,083.85/110.23
  6. Step 6: Final answer
    x = 100.55

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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.