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Finding the Fourth Proportional to 116.62, 160.48 and 107.50

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Solution

The fourth proportional to 116.62, 160.48 and 107.50 is: 147.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.62 : 160.48 = 107.50 : x
  2. Step 2: Convert to fraction form
    116.62/160.48 = 107.50/x
  3. Step 3: Cross multiply
    116.62x = 160.48 × 107.50
  4. Step 4: Simplify right side
    116.62x = 17,251.60
  5. Step 5: Solve for x
    x = 17,251.60/116.62
  6. Step 6: Final answer
    x = 147.93

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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.