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Finding the Fourth Proportional to 173.19, 259.78 and 59.19

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Solution

The fourth proportional to 173.19, 259.78 and 59.19 is: 88.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.19 : 259.78 = 59.19 : x
  2. Step 2: Convert to fraction form
    173.19/259.78 = 59.19/x
  3. Step 3: Cross multiply
    173.19x = 259.78 × 59.19
  4. Step 4: Simplify right side
    173.19x = 15,376.38
  5. Step 5: Solve for x
    x = 15,376.38/173.19
  6. Step 6: Final answer
    x = 88.78

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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.