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Finding the Fourth Proportional to 130.30, 195.38 and 53.18

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Solution

The fourth proportional to 130.30, 195.38 and 53.18 is: 79.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.30 : 195.38 = 53.18 : x
  2. Step 2: Convert to fraction form
    130.30/195.38 = 53.18/x
  3. Step 3: Cross multiply
    130.30x = 195.38 × 53.18
  4. Step 4: Simplify right side
    130.30x = 10,390.31
  5. Step 5: Solve for x
    x = 10,390.31/130.30
  6. Step 6: Final answer
    x = 79.74

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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.