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Finding the Fourth Proportional to 168.65, 253.01 and 53.13

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Solution

The fourth proportional to 168.65, 253.01 and 53.13 is: 79.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.65 : 253.01 = 53.13 : x
  2. Step 2: Convert to fraction form
    168.65/253.01 = 53.13/x
  3. Step 3: Cross multiply
    168.65x = 253.01 × 53.13
  4. Step 4: Simplify right side
    168.65x = 13,441.41
  5. Step 5: Solve for x
    x = 13,441.41/168.65
  6. Step 6: Final answer
    x = 79.70

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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.