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Finding the Fourth Proportional to 130.63, 180.23 and 75.36

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Solution

The fourth proportional to 130.63, 180.23 and 75.36 is: 103.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.63 : 180.23 = 75.36 : x
  2. Step 2: Convert to fraction form
    130.63/180.23 = 75.36/x
  3. Step 3: Cross multiply
    130.63x = 180.23 × 75.36
  4. Step 4: Simplify right side
    130.63x = 13,582.13
  5. Step 5: Solve for x
    x = 13,582.13/130.63
  6. Step 6: Final answer
    x = 103.97

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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.