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Finding the Fourth Proportional to 55.09, 76.05 and 40.51

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Solution

The fourth proportional to 55.09, 76.05 and 40.51 is: 55.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.09 : 76.05 = 40.51 : x
  2. Step 2: Convert to fraction form
    55.09/76.05 = 40.51/x
  3. Step 3: Cross multiply
    55.09x = 76.05 × 40.51
  4. Step 4: Simplify right side
    55.09x = 3,080.79
  5. Step 5: Solve for x
    x = 3,080.79/55.09
  6. Step 6: Final answer
    x = 55.92

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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.