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Finding the Fourth Proportional to 107.53, 148.06 and 82.66

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Solution

The fourth proportional to 107.53, 148.06 and 82.66 is: 113.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.53 : 148.06 = 82.66 : x
  2. Step 2: Convert to fraction form
    107.53/148.06 = 82.66/x
  3. Step 3: Cross multiply
    107.53x = 148.06 × 82.66
  4. Step 4: Simplify right side
    107.53x = 12,238.64
  5. Step 5: Solve for x
    x = 12,238.64/107.53
  6. Step 6: Final answer
    x = 113.82

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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.