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Finding the Fourth Proportional to 63.53, 95.33 and 34.65

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Solution

The fourth proportional to 63.53, 95.33 and 34.65 is: 51.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.53 : 95.33 = 34.65 : x
  2. Step 2: Convert to fraction form
    63.53/95.33 = 34.65/x
  3. Step 3: Cross multiply
    63.53x = 95.33 × 34.65
  4. Step 4: Simplify right side
    63.53x = 3,303.34
  5. Step 5: Solve for x
    x = 3,303.34/63.53
  6. Step 6: Final answer
    x = 51.99

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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.