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Finding the Fourth Proportional to 55.95, 77.23 and 41.23

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Solution

The fourth proportional to 55.95, 77.23 and 41.23 is: 56.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.95 : 77.23 = 41.23 : x
  2. Step 2: Convert to fraction form
    55.95/77.23 = 41.23/x
  3. Step 3: Cross multiply
    55.95x = 77.23 × 41.23
  4. Step 4: Simplify right side
    55.95x = 3,184.19
  5. Step 5: Solve for x
    x = 3,184.19/55.95
  6. Step 6: Final answer
    x = 56.91

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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.