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Finding the Fourth Proportional to 130.46, 180.02 and 95.49

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Solution

The fourth proportional to 130.46, 180.02 and 95.49 is: 131.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.46 : 180.02 = 95.49 : x
  2. Step 2: Convert to fraction form
    130.46/180.02 = 95.49/x
  3. Step 3: Cross multiply
    130.46x = 180.02 × 95.49
  4. Step 4: Simplify right side
    130.46x = 17,190.35
  5. Step 5: Solve for x
    x = 17,190.35/130.46
  6. Step 6: Final answer
    x = 131.77

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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.