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Finding the Fourth Proportional to 173.28, 259.94 and 101.10

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Solution

The fourth proportional to 173.28, 259.94 and 101.10 is: 151.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.28 : 259.94 = 101.10 : x
  2. Step 2: Convert to fraction form
    173.28/259.94 = 101.10/x
  3. Step 3: Cross multiply
    173.28x = 259.94 × 101.10
  4. Step 4: Simplify right side
    173.28x = 26,279.93
  5. Step 5: Solve for x
    x = 26,279.93/173.28
  6. Step 6: Final answer
    x = 151.66

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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.