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Finding the Fourth Proportional to 134.70, 185.69 and 97.80

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Solution

The fourth proportional to 134.70, 185.69 and 97.80 is: 134.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.70 : 185.69 = 97.80 : x
  2. Step 2: Convert to fraction form
    134.70/185.69 = 97.80/x
  3. Step 3: Cross multiply
    134.70x = 185.69 × 97.80
  4. Step 4: Simplify right side
    134.70x = 18,159.99
  5. Step 5: Solve for x
    x = 18,159.99/134.70
  6. Step 6: Final answer
    x = 134.82

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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.