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Finding the Fourth Proportional to 55.31, 82.56 and 46.69

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Solution

The fourth proportional to 55.31, 82.56 and 46.69 is: 69.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.31 : 82.56 = 46.69 : x
  2. Step 2: Convert to fraction form
    55.31/82.56 = 46.69/x
  3. Step 3: Cross multiply
    55.31x = 82.56 × 46.69
  4. Step 4: Simplify right side
    55.31x = 3,854.43
  5. Step 5: Solve for x
    x = 3,854.43/55.31
  6. Step 6: Final answer
    x = 69.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.