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Finding the Fourth Proportional to 113.40, 170.28 and 102.60

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Solution

The fourth proportional to 113.40, 170.28 and 102.60 is: 154.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.40 : 170.28 = 102.60 : x
  2. Step 2: Convert to fraction form
    113.40/170.28 = 102.60/x
  3. Step 3: Cross multiply
    113.40x = 170.28 × 102.60
  4. Step 4: Simplify right side
    113.40x = 17,470.73
  5. Step 5: Solve for x
    x = 17,470.73/113.40
  6. Step 6: Final answer
    x = 154.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.