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Finding the Fourth Proportional to 83.64, 125.34 and 45.06

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Solution

The fourth proportional to 83.64, 125.34 and 45.06 is: 67.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.64 : 125.34 = 45.06 : x
  2. Step 2: Convert to fraction form
    83.64/125.34 = 45.06/x
  3. Step 3: Cross multiply
    83.64x = 125.34 × 45.06
  4. Step 4: Simplify right side
    83.64x = 5,647.82
  5. Step 5: Solve for x
    x = 5,647.82/83.64
  6. Step 6: Final answer
    x = 67.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.