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Finding the Fourth Proportional to 55.27, 82.66 and 46.13

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Solution

The fourth proportional to 55.27, 82.66 and 46.13 is: 69.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.27 : 82.66 = 46.13 : x
  2. Step 2: Convert to fraction form
    55.27/82.66 = 46.13/x
  3. Step 3: Cross multiply
    55.27x = 82.66 × 46.13
  4. Step 4: Simplify right side
    55.27x = 3,813.11
  5. Step 5: Solve for x
    x = 3,813.11/55.27
  6. Step 6: Final answer
    x = 69.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.