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Finding the Fourth Proportional to 170.34, 254.57 and 124.80

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Solution

The fourth proportional to 170.34, 254.57 and 124.80 is: 186.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.34 : 254.57 = 124.80 : x
  2. Step 2: Convert to fraction form
    170.34/254.57 = 124.80/x
  3. Step 3: Cross multiply
    170.34x = 254.57 × 124.80
  4. Step 4: Simplify right side
    170.34x = 31,769.71
  5. Step 5: Solve for x
    x = 31,769.71/170.34
  6. Step 6: Final answer
    x = 186.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.