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Finding the Fourth Proportional to 63.16, 87.22 and 46.84

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Solution

The fourth proportional to 63.16, 87.22 and 46.84 is: 64.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.16 : 87.22 = 46.84 : x
  2. Step 2: Convert to fraction form
    63.16/87.22 = 46.84/x
  3. Step 3: Cross multiply
    63.16x = 87.22 × 46.84
  4. Step 4: Simplify right side
    63.16x = 4,085.38
  5. Step 5: Solve for x
    x = 4,085.38/63.16
  6. Step 6: Final answer
    x = 64.68

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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.