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Finding the Fourth Proportional to 131.01, 180.37 and 114.63

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Solution

The fourth proportional to 131.01, 180.37 and 114.63 is: 157.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.01 : 180.37 = 114.63 : x
  2. Step 2: Convert to fraction form
    131.01/180.37 = 114.63/x
  3. Step 3: Cross multiply
    131.01x = 180.37 × 114.63
  4. Step 4: Simplify right side
    131.01x = 20,675.45
  5. Step 5: Solve for x
    x = 20,675.45/131.01
  6. Step 6: Final answer
    x = 157.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.