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Finding the Fourth Proportional to 134.76, 185.54 and 106.75

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Solution

The fourth proportional to 134.76, 185.54 and 106.75 is: 146.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.76 : 185.54 = 106.75 : x
  2. Step 2: Convert to fraction form
    134.76/185.54 = 106.75/x
  3. Step 3: Cross multiply
    134.76x = 185.54 × 106.75
  4. Step 4: Simplify right side
    134.76x = 19,806.40
  5. Step 5: Solve for x
    x = 19,806.40/134.76
  6. Step 6: Final answer
    x = 146.98

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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.