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Finding the Fourth Proportional to 134.77, 185.98 and 76.55

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Solution

The fourth proportional to 134.77, 185.98 and 76.55 is: 105.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.77 : 185.98 = 76.55 : x
  2. Step 2: Convert to fraction form
    134.77/185.98 = 76.55/x
  3. Step 3: Cross multiply
    134.77x = 185.98 × 76.55
  4. Step 4: Simplify right side
    134.77x = 14,236.77
  5. Step 5: Solve for x
    x = 14,236.77/134.77
  6. Step 6: Final answer
    x = 105.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.