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Finding the Fourth Proportional to 72.80, 100 and 72.44

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Solution

The fourth proportional to 72.80, 100 and 72.44 is: 99.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.80 : 100 = 72.44 : x
  2. Step 2: Convert to fraction form
    72.80/100 = 72.44/x
  3. Step 3: Cross multiply
    72.80x = 100 × 72.44
  4. Step 4: Simplify right side
    72.80x = 7,244
  5. Step 5: Solve for x
    x = 7,244/72.80
  6. Step 6: Final answer
    x = 99.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.