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Finding the Fourth Proportional to 172.65, 259.01 and 57.10

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Solution

The fourth proportional to 172.65, 259.01 and 57.10 is: 85.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.65 : 259.01 = 57.10 : x
  2. Step 2: Convert to fraction form
    172.65/259.01 = 57.10/x
  3. Step 3: Cross multiply
    172.65x = 259.01 × 57.10
  4. Step 4: Simplify right side
    172.65x = 14,789.47
  5. Step 5: Solve for x
    x = 14,789.47/172.65
  6. Step 6: Final answer
    x = 85.66

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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.