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Finding the Fourth Proportional to 131.51, 180.97 and 113.02

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Solution

The fourth proportional to 131.51, 180.97 and 113.02 is: 155.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.51 : 180.97 = 113.02 : x
  2. Step 2: Convert to fraction form
    131.51/180.97 = 113.02/x
  3. Step 3: Cross multiply
    131.51x = 180.97 × 113.02
  4. Step 4: Simplify right side
    131.51x = 20,452.49
  5. Step 5: Solve for x
    x = 20,452.49/131.51
  6. Step 6: Final answer
    x = 155.52

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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.