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Finding the Fourth Proportional to 107.77, 148.60 and 83.15

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Solution

The fourth proportional to 107.77, 148.60 and 83.15 is: 114.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.77 : 148.60 = 83.15 : x
  2. Step 2: Convert to fraction form
    107.77/148.60 = 83.15/x
  3. Step 3: Cross multiply
    107.77x = 148.60 × 83.15
  4. Step 4: Simplify right side
    107.77x = 12,355.67
  5. Step 5: Solve for x
    x = 12,355.67/107.77
  6. Step 6: Final answer
    x = 114.65

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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.