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Finding the Fourth Proportional to 55.27, 82.91 and 46.77

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Solution

The fourth proportional to 55.27, 82.91 and 46.77 is: 70.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.27 : 82.91 = 46.77 : x
  2. Step 2: Convert to fraction form
    55.27/82.91 = 46.77/x
  3. Step 3: Cross multiply
    55.27x = 82.91 × 46.77
  4. Step 4: Simplify right side
    55.27x = 3,877.70
  5. Step 5: Solve for x
    x = 3,877.70/55.27
  6. Step 6: Final answer
    x = 70.16

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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.