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Finding the Fourth Proportional to 115.30, 172.80 and 102.40

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Solution

The fourth proportional to 115.30, 172.80 and 102.40 is: 153.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.30 : 172.80 = 102.40 : x
  2. Step 2: Convert to fraction form
    115.30/172.80 = 102.40/x
  3. Step 3: Cross multiply
    115.30x = 172.80 × 102.40
  4. Step 4: Simplify right side
    115.30x = 17,694.72
  5. Step 5: Solve for x
    x = 17,694.72/115.30
  6. Step 6: Final answer
    x = 153.47

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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.