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Finding the Fourth Proportional to 130.49, 180.05 and 75.21

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Solution

The fourth proportional to 130.49, 180.05 and 75.21 is: 103.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.49 : 180.05 = 75.21 : x
  2. Step 2: Convert to fraction form
    130.49/180.05 = 75.21/x
  3. Step 3: Cross multiply
    130.49x = 180.05 × 75.21
  4. Step 4: Simplify right side
    130.49x = 13,541.18
  5. Step 5: Solve for x
    x = 13,541.18/130.49
  6. Step 6: Final answer
    x = 103.78

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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.