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Finding the Fourth Proportional to 55.09, 75.89 and 46.34

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Solution

The fourth proportional to 55.09, 75.89 and 46.34 is: 63.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.09 : 75.89 = 46.34 : x
  2. Step 2: Convert to fraction form
    55.09/75.89 = 46.34/x
  3. Step 3: Cross multiply
    55.09x = 75.89 × 46.34
  4. Step 4: Simplify right side
    55.09x = 3,517.19
  5. Step 5: Solve for x
    x = 3,517.19/55.09
  6. Step 6: Final answer
    x = 63.84

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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.