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Finding the Fourth Proportional to 82.40, 124.48 and 82.08

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Solution

The fourth proportional to 82.40, 124.48 and 82.08 is: 124.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.40 : 124.48 = 82.08 : x
  2. Step 2: Convert to fraction form
    82.40/124.48 = 82.08/x
  3. Step 3: Cross multiply
    82.40x = 124.48 × 82.08
  4. Step 4: Simplify right side
    82.40x = 10,217.32
  5. Step 5: Solve for x
    x = 10,217.32/82.40
  6. Step 6: Final answer
    x = 124.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.