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Finding the Fourth Proportional to 130.53, 180.10 and 75.29

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Solution

The fourth proportional to 130.53, 180.10 and 75.29 is: 103.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.53 : 180.10 = 75.29 : x
  2. Step 2: Convert to fraction form
    130.53/180.10 = 75.29/x
  3. Step 3: Cross multiply
    130.53x = 180.10 × 75.29
  4. Step 4: Simplify right side
    130.53x = 13,558.92
  5. Step 5: Solve for x
    x = 13,558.92/130.53
  6. Step 6: Final answer
    x = 103.87

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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.