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Finding the Fourth Proportional to 83.04, 114.75 and 79.35

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Solution

The fourth proportional to 83.04, 114.75 and 79.35 is: 109.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.04 : 114.75 = 79.35 : x
  2. Step 2: Convert to fraction form
    83.04/114.75 = 79.35/x
  3. Step 3: Cross multiply
    83.04x = 114.75 × 79.35
  4. Step 4: Simplify right side
    83.04x = 9,105.41
  5. Step 5: Solve for x
    x = 9,105.41/83.04
  6. Step 6: Final answer
    x = 109.65

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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.