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Finding the Fourth Proportional to 116.80, 175.88 and 102.51

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Solution

The fourth proportional to 116.80, 175.88 and 102.51 is: 154.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.80 : 175.88 = 102.51 : x
  2. Step 2: Convert to fraction form
    116.80/175.88 = 102.51/x
  3. Step 3: Cross multiply
    116.80x = 175.88 × 102.51
  4. Step 4: Simplify right side
    116.80x = 18,028.95
  5. Step 5: Solve for x
    x = 18,028.95/116.80
  6. Step 6: Final answer
    x = 154.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.