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Finding the Fourth Proportional to 131.32, 181.12 and 78.80

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Solution

The fourth proportional to 131.32, 181.12 and 78.80 is: 108.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.32 : 181.12 = 78.80 : x
  2. Step 2: Convert to fraction form
    131.32/181.12 = 78.80/x
  3. Step 3: Cross multiply
    131.32x = 181.12 × 78.80
  4. Step 4: Simplify right side
    131.32x = 14,271.86
  5. Step 5: Solve for x
    x = 14,271.86/131.32
  6. Step 6: Final answer
    x = 108.68

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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.