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Finding the Fourth Proportional to 86.92, 130.26 and 78.30

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Solution

The fourth proportional to 86.92, 130.26 and 78.30 is: 117.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.92 : 130.26 = 78.30 : x
  2. Step 2: Convert to fraction form
    86.92/130.26 = 78.30/x
  3. Step 3: Cross multiply
    86.92x = 130.26 × 78.30
  4. Step 4: Simplify right side
    86.92x = 10,199.36
  5. Step 5: Solve for x
    x = 10,199.36/86.92
  6. Step 6: Final answer
    x = 117.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.