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Finding the Fourth Proportional to 83.02, 124.53 and 36.76

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Solution

The fourth proportional to 83.02, 124.53 and 36.76 is: 55.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.02 : 124.53 = 36.76 : x
  2. Step 2: Convert to fraction form
    83.02/124.53 = 36.76/x
  3. Step 3: Cross multiply
    83.02x = 124.53 × 36.76
  4. Step 4: Simplify right side
    83.02x = 4,577.72
  5. Step 5: Solve for x
    x = 4,577.72/83.02
  6. Step 6: Final answer
    x = 55.14

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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.