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Finding the Fourth Proportional to 83.10, 117.84 and 83.10

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Solution

The fourth proportional to 83.10, 117.84 and 83.10 is: 117.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.10 : 117.84 = 83.10 : x
  2. Step 2: Convert to fraction form
    83.10/117.84 = 83.10/x
  3. Step 3: Cross multiply
    83.10x = 117.84 × 83.10
  4. Step 4: Simplify right side
    83.10x = 9,792.50
  5. Step 5: Solve for x
    x = 9,792.50/83.10
  6. Step 6: Final answer
    x = 117.84

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.