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Finding the Fourth Proportional to 131.80, 182.10 and 93.16

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Solution

The fourth proportional to 131.80, 182.10 and 93.16 is: 128.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.80 : 182.10 = 93.16 : x
  2. Step 2: Convert to fraction form
    131.80/182.10 = 93.16/x
  3. Step 3: Cross multiply
    131.80x = 182.10 × 93.16
  4. Step 4: Simplify right side
    131.80x = 16,964.44
  5. Step 5: Solve for x
    x = 16,964.44/131.80
  6. Step 6: Final answer
    x = 128.71

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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.