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Finding the Fourth Proportional to 82.97, 114.49 and 48.00

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Solution

The fourth proportional to 82.97, 114.49 and 48.00 is: 66.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.97 : 114.49 = 48.00 : x
  2. Step 2: Convert to fraction form
    82.97/114.49 = 48.00/x
  3. Step 3: Cross multiply
    82.97x = 114.49 × 48.00
  4. Step 4: Simplify right side
    82.97x = 5,494.95
  5. Step 5: Solve for x
    x = 5,494.95/82.97
  6. Step 6: Final answer
    x = 66.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.