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Finding the Fourth Proportional to 134.58, 185.72 and 77.80

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Solution

The fourth proportional to 134.58, 185.72 and 77.80 is: 107.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.58 : 185.72 = 77.80 : x
  2. Step 2: Convert to fraction form
    134.58/185.72 = 77.80/x
  3. Step 3: Cross multiply
    134.58x = 185.72 × 77.80
  4. Step 4: Simplify right side
    134.58x = 14,449.02
  5. Step 5: Solve for x
    x = 14,449.02/134.58
  6. Step 6: Final answer
    x = 107.36

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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.