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Finding the Fourth Proportional to 130.62, 180.14 and 95.61

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Solution

The fourth proportional to 130.62, 180.14 and 95.61 is: 131.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.62 : 180.14 = 95.61 : x
  2. Step 2: Convert to fraction form
    130.62/180.14 = 95.61/x
  3. Step 3: Cross multiply
    130.62x = 180.14 × 95.61
  4. Step 4: Simplify right side
    130.62x = 17,223.19
  5. Step 5: Solve for x
    x = 17,223.19/130.62
  6. Step 6: Final answer
    x = 131.86

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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.