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Finding the Fourth Proportional to 83.40, 114.91 and 76.40

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Solution

The fourth proportional to 83.40, 114.91 and 76.40 is: 105.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.40 : 114.91 = 76.40 : x
  2. Step 2: Convert to fraction form
    83.40/114.91 = 76.40/x
  3. Step 3: Cross multiply
    83.40x = 114.91 × 76.40
  4. Step 4: Simplify right side
    83.40x = 8,779.12
  5. Step 5: Solve for x
    x = 8,779.12/83.40
  6. Step 6: Final answer
    x = 105.27

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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.