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Finding the Fourth Proportional to 82.84, 124.96 and 77.98

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Solution

The fourth proportional to 82.84, 124.96 and 77.98 is: 117.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.84 : 124.96 = 77.98 : x
  2. Step 2: Convert to fraction form
    82.84/124.96 = 77.98/x
  3. Step 3: Cross multiply
    82.84x = 124.96 × 77.98
  4. Step 4: Simplify right side
    82.84x = 9,744.38
  5. Step 5: Solve for x
    x = 9,744.38/82.84
  6. Step 6: Final answer
    x = 117.63

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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.