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Finding the Fourth Proportional to 62.96, 86.81 and 46.55

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Solution

The fourth proportional to 62.96, 86.81 and 46.55 is: 64.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.96 : 86.81 = 46.55 : x
  2. Step 2: Convert to fraction form
    62.96/86.81 = 46.55/x
  3. Step 3: Cross multiply
    62.96x = 86.81 × 46.55
  4. Step 4: Simplify right side
    62.96x = 4,040.99
  5. Step 5: Solve for x
    x = 4,040.99/62.96
  6. Step 6: Final answer
    x = 64.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.