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Finding the Fourth Proportional to 130.09, 195.50 and 89.77

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Solution

The fourth proportional to 130.09, 195.50 and 89.77 is: 134.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.09 : 195.50 = 89.77 : x
  2. Step 2: Convert to fraction form
    130.09/195.50 = 89.77/x
  3. Step 3: Cross multiply
    130.09x = 195.50 × 89.77
  4. Step 4: Simplify right side
    130.09x = 17,550.04
  5. Step 5: Solve for x
    x = 17,550.04/130.09
  6. Step 6: Final answer
    x = 134.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.