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Finding the Fourth Proportional to 134.25, 185.25 and 77.46

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Solution

The fourth proportional to 134.25, 185.25 and 77.46 is: 106.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.25 : 185.25 = 77.46 : x
  2. Step 2: Convert to fraction form
    134.25/185.25 = 77.46/x
  3. Step 3: Cross multiply
    134.25x = 185.25 × 77.46
  4. Step 4: Simplify right side
    134.25x = 14,349.47
  5. Step 5: Solve for x
    x = 14,349.47/134.25
  6. Step 6: Final answer
    x = 106.89

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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.