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Finding the Fourth Proportional to 55.53, 76.54 and 46.27

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Solution

The fourth proportional to 55.53, 76.54 and 46.27 is: 63.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.53 : 76.54 = 46.27 : x
  2. Step 2: Convert to fraction form
    55.53/76.54 = 46.27/x
  3. Step 3: Cross multiply
    55.53x = 76.54 × 46.27
  4. Step 4: Simplify right side
    55.53x = 3,541.51
  5. Step 5: Solve for x
    x = 3,541.51/55.53
  6. Step 6: Final answer
    x = 63.78

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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.