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Finding the Fourth Proportional to 55.78, 83.64 and 40.60

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Solution

The fourth proportional to 55.78, 83.64 and 40.60 is: 60.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.78 : 83.64 = 40.60 : x
  2. Step 2: Convert to fraction form
    55.78/83.64 = 40.60/x
  3. Step 3: Cross multiply
    55.78x = 83.64 × 40.60
  4. Step 4: Simplify right side
    55.78x = 3,395.78
  5. Step 5: Solve for x
    x = 3,395.78/55.78
  6. Step 6: Final answer
    x = 60.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.