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Finding the Fourth Proportional to 130.53, 195.87 and 87.23

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Solution

The fourth proportional to 130.53, 195.87 and 87.23 is: 130.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.53 : 195.87 = 87.23 : x
  2. Step 2: Convert to fraction form
    130.53/195.87 = 87.23/x
  3. Step 3: Cross multiply
    130.53x = 195.87 × 87.23
  4. Step 4: Simplify right side
    130.53x = 17,084.76
  5. Step 5: Solve for x
    x = 17,084.76/130.53
  6. Step 6: Final answer
    x = 130.89

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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.