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Finding the Fourth Proportional to 130.34, 179.90 and 80.57

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Solution

The fourth proportional to 130.34, 179.90 and 80.57 is: 111.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.34 : 179.90 = 80.57 : x
  2. Step 2: Convert to fraction form
    130.34/179.90 = 80.57/x
  3. Step 3: Cross multiply
    130.34x = 179.90 × 80.57
  4. Step 4: Simplify right side
    130.34x = 14,495.35
  5. Step 5: Solve for x
    x = 14,495.35/130.34
  6. Step 6: Final answer
    x = 111.21

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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.