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Finding the Fourth Proportional to 93.44, 128.88 and 72.80

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Solution

The fourth proportional to 93.44, 128.88 and 72.80 is: 100.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.44 : 128.88 = 72.80 : x
  2. Step 2: Convert to fraction form
    93.44/128.88 = 72.80/x
  3. Step 3: Cross multiply
    93.44x = 128.88 × 72.80
  4. Step 4: Simplify right side
    93.44x = 9,382.46
  5. Step 5: Solve for x
    x = 9,382.46/93.44
  6. Step 6: Final answer
    x = 100.41

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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.