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Finding the Fourth Proportional to 130.69, 180.33 and 75.43

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Solution

The fourth proportional to 130.69, 180.33 and 75.43 is: 104.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.69 : 180.33 = 75.43 : x
  2. Step 2: Convert to fraction form
    130.69/180.33 = 75.43/x
  3. Step 3: Cross multiply
    130.69x = 180.33 × 75.43
  4. Step 4: Simplify right side
    130.69x = 13,602.29
  5. Step 5: Solve for x
    x = 13,602.29/130.69
  6. Step 6: Final answer
    x = 104.08

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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.