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Finding the Fourth Proportional to 111.30, 153.70 and 97.64

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Solution

The fourth proportional to 111.30, 153.70 and 97.64 is: 134.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.30 : 153.70 = 97.64 : x
  2. Step 2: Convert to fraction form
    111.30/153.70 = 97.64/x
  3. Step 3: Cross multiply
    111.30x = 153.70 × 97.64
  4. Step 4: Simplify right side
    111.30x = 15,007.27
  5. Step 5: Solve for x
    x = 15,007.27/111.30
  6. Step 6: Final answer
    x = 134.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.