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Finding the Fourth Proportional to 131.76, 181.85 and 95.04

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Solution

The fourth proportional to 131.76, 181.85 and 95.04 is: 131.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.76 : 181.85 = 95.04 : x
  2. Step 2: Convert to fraction form
    131.76/181.85 = 95.04/x
  3. Step 3: Cross multiply
    131.76x = 181.85 × 95.04
  4. Step 4: Simplify right side
    131.76x = 17,283.02
  5. Step 5: Solve for x
    x = 17,283.02/131.76
  6. Step 6: Final answer
    x = 131.17

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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.