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Finding the Fourth Proportional to 84.24, 116.15 and 78.77

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Solution

The fourth proportional to 84.24, 116.15 and 78.77 is: 108.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.24 : 116.15 = 78.77 : x
  2. Step 2: Convert to fraction form
    84.24/116.15 = 78.77/x
  3. Step 3: Cross multiply
    84.24x = 116.15 × 78.77
  4. Step 4: Simplify right side
    84.24x = 9,148.16
  5. Step 5: Solve for x
    x = 9,148.16/84.24
  6. Step 6: Final answer
    x = 108.60

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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.