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Finding the Fourth Proportional to 130.86, 180.54 and 89.43

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Solution

The fourth proportional to 130.86, 180.54 and 89.43 is: 123.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.86 : 180.54 = 89.43 : x
  2. Step 2: Convert to fraction form
    130.86/180.54 = 89.43/x
  3. Step 3: Cross multiply
    130.86x = 180.54 × 89.43
  4. Step 4: Simplify right side
    130.86x = 16,145.69
  5. Step 5: Solve for x
    x = 16,145.69/130.86
  6. Step 6: Final answer
    x = 123.38

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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.