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Finding the Fourth Proportional to 98.72, 136.32 and 72.80

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Solution

The fourth proportional to 98.72, 136.32 and 72.80 is: 100.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.72 : 136.32 = 72.80 : x
  2. Step 2: Convert to fraction form
    98.72/136.32 = 72.80/x
  3. Step 3: Cross multiply
    98.72x = 136.32 × 72.80
  4. Step 4: Simplify right side
    98.72x = 9,924.10
  5. Step 5: Solve for x
    x = 9,924.10/98.72
  6. Step 6: Final answer
    x = 100.53

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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.