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Finding the Fourth Proportional to 130.52, 195.66 and 62

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Solution

The fourth proportional to 130.52, 195.66 and 62 is: 92.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.52 : 195.66 = 62 : x
  2. Step 2: Convert to fraction form
    130.52/195.66 = 62/x
  3. Step 3: Cross multiply
    130.52x = 195.66 × 62
  4. Step 4: Simplify right side
    130.52x = 12,130.92
  5. Step 5: Solve for x
    x = 12,130.92/130.52
  6. Step 6: Final answer
    x = 92.94

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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.