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Finding the Fourth Proportional to 116.57, 174.12 and 98.35

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Solution

The fourth proportional to 116.57, 174.12 and 98.35 is: 146.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.57 : 174.12 = 98.35 : x
  2. Step 2: Convert to fraction form
    116.57/174.12 = 98.35/x
  3. Step 3: Cross multiply
    116.57x = 174.12 × 98.35
  4. Step 4: Simplify right side
    116.57x = 17,124.70
  5. Step 5: Solve for x
    x = 17,124.70/116.57
  6. Step 6: Final answer
    x = 146.90

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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.