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Finding the Fourth Proportional to 130.18, 195.24 and 58

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Solution

The fourth proportional to 130.18, 195.24 and 58 is: 86.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.18 : 195.24 = 58 : x
  2. Step 2: Convert to fraction form
    130.18/195.24 = 58/x
  3. Step 3: Cross multiply
    130.18x = 195.24 × 58
  4. Step 4: Simplify right side
    130.18x = 11,323.92
  5. Step 5: Solve for x
    x = 11,323.92/130.18
  6. Step 6: Final answer
    x = 86.99

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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.