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Finding the Fourth Proportional to 82.50, 123.61 and 36.77

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Solution

The fourth proportional to 82.50, 123.61 and 36.77 is: 55.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.50 : 123.61 = 36.77 : x
  2. Step 2: Convert to fraction form
    82.50/123.61 = 36.77/x
  3. Step 3: Cross multiply
    82.50x = 123.61 × 36.77
  4. Step 4: Simplify right side
    82.50x = 4,544.34
  5. Step 5: Solve for x
    x = 4,544.34/82.50
  6. Step 6: Final answer
    x = 55.08

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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.