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Finding the Fourth Proportional to 115.42, 172.98 and 102.60

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Solution

The fourth proportional to 115.42, 172.98 and 102.60 is: 153.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.42 : 172.98 = 102.60 : x
  2. Step 2: Convert to fraction form
    115.42/172.98 = 102.60/x
  3. Step 3: Cross multiply
    115.42x = 172.98 × 102.60
  4. Step 4: Simplify right side
    115.42x = 17,747.75
  5. Step 5: Solve for x
    x = 17,747.75/115.42
  6. Step 6: Final answer
    x = 153.77

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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.