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Finding the Fourth Proportional to 173.24, 259.76 and 64.91

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Solution

The fourth proportional to 173.24, 259.76 and 64.91 is: 97.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.24 : 259.76 = 64.91 : x
  2. Step 2: Convert to fraction form
    173.24/259.76 = 64.91/x
  3. Step 3: Cross multiply
    173.24x = 259.76 × 64.91
  4. Step 4: Simplify right side
    173.24x = 16,859.40
  5. Step 5: Solve for x
    x = 16,859.40/173.24
  6. Step 6: Final answer
    x = 97.32

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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.