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Finding the Fourth Proportional to 173.02, 259.53 and 86.35

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Solution

The fourth proportional to 173.02, 259.53 and 86.35 is: 129.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.02 : 259.53 = 86.35 : x
  2. Step 2: Convert to fraction form
    173.02/259.53 = 86.35/x
  3. Step 3: Cross multiply
    173.02x = 259.53 × 86.35
  4. Step 4: Simplify right side
    173.02x = 22,410.42
  5. Step 5: Solve for x
    x = 22,410.42/173.02
  6. Step 6: Final answer
    x = 129.53

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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.