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Finding the Fourth Proportional to 134.40, 185.64 and 106.80

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Solution

The fourth proportional to 134.40, 185.64 and 106.80 is: 147.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.40 : 185.64 = 106.80 : x
  2. Step 2: Convert to fraction form
    134.40/185.64 = 106.80/x
  3. Step 3: Cross multiply
    134.40x = 185.64 × 106.80
  4. Step 4: Simplify right side
    134.40x = 19,826.35
  5. Step 5: Solve for x
    x = 19,826.35/134.40
  6. Step 6: Final answer
    x = 147.52

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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.