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Finding the Fourth Proportional to 107.17, 147.83 and 82.25

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Solution

The fourth proportional to 107.17, 147.83 and 82.25 is: 113.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.17 : 147.83 = 82.25 : x
  2. Step 2: Convert to fraction form
    107.17/147.83 = 82.25/x
  3. Step 3: Cross multiply
    107.17x = 147.83 × 82.25
  4. Step 4: Simplify right side
    107.17x = 12,159.02
  5. Step 5: Solve for x
    x = 12,159.02/107.17
  6. Step 6: Final answer
    x = 113.46

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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.