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Finding the Fourth Proportional to 115.47, 173.39 and 102.06

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Solution

The fourth proportional to 115.47, 173.39 and 102.06 is: 153.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.47 : 173.39 = 102.06 : x
  2. Step 2: Convert to fraction form
    115.47/173.39 = 102.06/x
  3. Step 3: Cross multiply
    115.47x = 173.39 × 102.06
  4. Step 4: Simplify right side
    115.47x = 17,695.67
  5. Step 5: Solve for x
    x = 17,695.67/115.47
  6. Step 6: Final answer
    x = 153.25

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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.