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Finding the Fourth Proportional to 107.62, 148.60 and 83.01

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Solution

The fourth proportional to 107.62, 148.60 and 83.01 is: 114.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.62 : 148.60 = 83.01 : x
  2. Step 2: Convert to fraction form
    107.62/148.60 = 83.01/x
  3. Step 3: Cross multiply
    107.62x = 148.60 × 83.01
  4. Step 4: Simplify right side
    107.62x = 12,335.29
  5. Step 5: Solve for x
    x = 12,335.29/107.62
  6. Step 6: Final answer
    x = 114.62

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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.