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Finding the Fourth Proportional to 83.63, 124.70 and 78.84

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Solution

The fourth proportional to 83.63, 124.70 and 78.84 is: 117.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.63 : 124.70 = 78.84 : x
  2. Step 2: Convert to fraction form
    83.63/124.70 = 78.84/x
  3. Step 3: Cross multiply
    83.63x = 124.70 × 78.84
  4. Step 4: Simplify right side
    83.63x = 9,830.95
  5. Step 5: Solve for x
    x = 9,830.95/83.63
  6. Step 6: Final answer
    x = 117.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.