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Finding the Fourth Proportional to 130.50, 180.08 and 75.23

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Solution

The fourth proportional to 130.50, 180.08 and 75.23 is: 103.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.50 : 180.08 = 75.23 : x
  2. Step 2: Convert to fraction form
    130.50/180.08 = 75.23/x
  3. Step 3: Cross multiply
    130.50x = 180.08 × 75.23
  4. Step 4: Simplify right side
    130.50x = 13,546.14
  5. Step 5: Solve for x
    x = 13,546.14/130.50
  6. Step 6: Final answer
    x = 103.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.