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Finding the Fourth Proportional to 82.46, 123.76 and 53.58

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Solution

The fourth proportional to 82.46, 123.76 and 53.58 is: 80.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.46 : 123.76 = 53.58 : x
  2. Step 2: Convert to fraction form
    82.46/123.76 = 53.58/x
  3. Step 3: Cross multiply
    82.46x = 123.76 × 53.58
  4. Step 4: Simplify right side
    82.46x = 6,631.06
  5. Step 5: Solve for x
    x = 6,631.06/82.46
  6. Step 6: Final answer
    x = 80.42

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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.