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Finding the Fourth Proportional to 131.76, 181.96 and 112.24

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Solution

The fourth proportional to 131.76, 181.96 and 112.24 is: 155.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.76 : 181.96 = 112.24 : x
  2. Step 2: Convert to fraction form
    131.76/181.96 = 112.24/x
  3. Step 3: Cross multiply
    131.76x = 181.96 × 112.24
  4. Step 4: Simplify right side
    131.76x = 20,423.19
  5. Step 5: Solve for x
    x = 20,423.19/131.76
  6. Step 6: Final answer
    x = 155.00

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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.