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Finding the Fourth Proportional to 55.51, 76.69 and 42.44

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Solution

The fourth proportional to 55.51, 76.69 and 42.44 is: 58.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.51 : 76.69 = 42.44 : x
  2. Step 2: Convert to fraction form
    55.51/76.69 = 42.44/x
  3. Step 3: Cross multiply
    55.51x = 76.69 × 42.44
  4. Step 4: Simplify right side
    55.51x = 3,254.82
  5. Step 5: Solve for x
    x = 3,254.82/55.51
  6. Step 6: Final answer
    x = 58.64

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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.