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Finding the Fourth Proportional to 134.70, 185.89 and 75.69

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Solution

The fourth proportional to 134.70, 185.89 and 75.69 is: 104.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.70 : 185.89 = 75.69 : x
  2. Step 2: Convert to fraction form
    134.70/185.89 = 75.69/x
  3. Step 3: Cross multiply
    134.70x = 185.89 × 75.69
  4. Step 4: Simplify right side
    134.70x = 14,070.01
  5. Step 5: Solve for x
    x = 14,070.01/134.70
  6. Step 6: Final answer
    x = 104.45

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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.