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Finding the Fourth Proportional to 131.36, 181.42 and 102.60

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Solution

The fourth proportional to 131.36, 181.42 and 102.60 is: 141.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.36 : 181.42 = 102.60 : x
  2. Step 2: Convert to fraction form
    131.36/181.42 = 102.60/x
  3. Step 3: Cross multiply
    131.36x = 181.42 × 102.60
  4. Step 4: Simplify right side
    131.36x = 18,613.69
  5. Step 5: Solve for x
    x = 18,613.69/131.36
  6. Step 6: Final answer
    x = 141.70

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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.