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Finding the Fourth Proportional to 134.60, 185.76 and 76.40

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Solution

The fourth proportional to 134.60, 185.76 and 76.40 is: 105.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.60 : 185.76 = 76.40 : x
  2. Step 2: Convert to fraction form
    134.60/185.76 = 76.40/x
  3. Step 3: Cross multiply
    134.60x = 185.76 × 76.40
  4. Step 4: Simplify right side
    134.60x = 14,192.06
  5. Step 5: Solve for x
    x = 14,192.06/134.60
  6. Step 6: Final answer
    x = 105.44

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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.