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Finding the Fourth Proportional to 130.62, 195.48 and 84.90

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Solution

The fourth proportional to 130.62, 195.48 and 84.90 is: 127.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.62 : 195.48 = 84.90 : x
  2. Step 2: Convert to fraction form
    130.62/195.48 = 84.90/x
  3. Step 3: Cross multiply
    130.62x = 195.48 × 84.90
  4. Step 4: Simplify right side
    130.62x = 16,596.25
  5. Step 5: Solve for x
    x = 16,596.25/130.62
  6. Step 6: Final answer
    x = 127.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.