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Finding the Fourth Proportional to 170.73, 235.65 and 100.80

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Solution

The fourth proportional to 170.73, 235.65 and 100.80 is: 139.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.73 : 235.65 = 100.80 : x
  2. Step 2: Convert to fraction form
    170.73/235.65 = 100.80/x
  3. Step 3: Cross multiply
    170.73x = 235.65 × 100.80
  4. Step 4: Simplify right side
    170.73x = 23,753.52
  5. Step 5: Solve for x
    x = 23,753.52/170.73
  6. Step 6: Final answer
    x = 139.13

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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.