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Finding the Fourth Proportional to 131.61, 181.53 and 76.33

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Solution

The fourth proportional to 131.61, 181.53 and 76.33 is: 105.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.61 : 181.53 = 76.33 : x
  2. Step 2: Convert to fraction form
    131.61/181.53 = 76.33/x
  3. Step 3: Cross multiply
    131.61x = 181.53 × 76.33
  4. Step 4: Simplify right side
    131.61x = 13,856.18
  5. Step 5: Solve for x
    x = 13,856.18/131.61
  6. Step 6: Final answer
    x = 105.28

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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.