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Finding the Fourth Proportional to 82.84, 124.20 and 48.60

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Solution

The fourth proportional to 82.84, 124.20 and 48.60 is: 72.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.84 : 124.20 = 48.60 : x
  2. Step 2: Convert to fraction form
    82.84/124.20 = 48.60/x
  3. Step 3: Cross multiply
    82.84x = 124.20 × 48.60
  4. Step 4: Simplify right side
    82.84x = 6,036.12
  5. Step 5: Solve for x
    x = 6,036.12/82.84
  6. Step 6: Final answer
    x = 72.86

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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.