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Finding the Fourth Proportional to 131.48, 181.45 and 73.27

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Solution

The fourth proportional to 131.48, 181.45 and 73.27 is: 101.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.48 : 181.45 = 73.27 : x
  2. Step 2: Convert to fraction form
    131.48/181.45 = 73.27/x
  3. Step 3: Cross multiply
    131.48x = 181.45 × 73.27
  4. Step 4: Simplify right side
    131.48x = 13,293.93
  5. Step 5: Solve for x
    x = 13,293.93/131.48
  6. Step 6: Final answer
    x = 101.11

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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.