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Finding the Fourth Proportional to 131.24, 178.76 and 130.88

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Solution

The fourth proportional to 131.24, 178.76 and 130.88 is: 178.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.24 : 178.76 = 130.88 : x
  2. Step 2: Convert to fraction form
    131.24/178.76 = 130.88/x
  3. Step 3: Cross multiply
    131.24x = 178.76 × 130.88
  4. Step 4: Simplify right side
    131.24x = 23,396.11
  5. Step 5: Solve for x
    x = 23,396.11/131.24
  6. Step 6: Final answer
    x = 178.27

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.