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Finding the Fourth Proportional to 84.49, 116.61 and 51.32

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Solution

The fourth proportional to 84.49, 116.61 and 51.32 is: 70.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.49 : 116.61 = 51.32 : x
  2. Step 2: Convert to fraction form
    84.49/116.61 = 51.32/x
  3. Step 3: Cross multiply
    84.49x = 116.61 × 51.32
  4. Step 4: Simplify right side
    84.49x = 5,983.84
  5. Step 5: Solve for x
    x = 5,983.84/84.49
  6. Step 6: Final answer
    x = 70.82

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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.