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Finding the Fourth Proportional to 83.42, 124.30 and 79.04

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Solution

The fourth proportional to 83.42, 124.30 and 79.04 is: 117.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.42 : 124.30 = 79.04 : x
  2. Step 2: Convert to fraction form
    83.42/124.30 = 79.04/x
  3. Step 3: Cross multiply
    83.42x = 124.30 × 79.04
  4. Step 4: Simplify right side
    83.42x = 9,824.67
  5. Step 5: Solve for x
    x = 9,824.67/83.42
  6. Step 6: Final answer
    x = 117.77

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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.