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Finding the Fourth Proportional to 82.64, 123.96 and 46.80

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Solution

The fourth proportional to 82.64, 123.96 and 46.80 is: 70.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.64 : 123.96 = 46.80 : x
  2. Step 2: Convert to fraction form
    82.64/123.96 = 46.80/x
  3. Step 3: Cross multiply
    82.64x = 123.96 × 46.80
  4. Step 4: Simplify right side
    82.64x = 5,801.33
  5. Step 5: Solve for x
    x = 5,801.33/82.64
  6. Step 6: Final answer
    x = 70.20

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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.