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Finding the Fourth Proportional to 62.22, 85.64 and 46.65

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Solution

The fourth proportional to 62.22, 85.64 and 46.65 is: 64.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.22 : 85.64 = 46.65 : x
  2. Step 2: Convert to fraction form
    62.22/85.64 = 46.65/x
  3. Step 3: Cross multiply
    62.22x = 85.64 × 46.65
  4. Step 4: Simplify right side
    62.22x = 3,994.87
  5. Step 5: Solve for x
    x = 3,994.87/62.22
  6. Step 6: Final answer
    x = 64.21

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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.