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Finding the Fourth Proportional to 111.10, 153.54 and 107.56

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Solution

The fourth proportional to 111.10, 153.54 and 107.56 is: 148.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.10 : 153.54 = 107.56 : x
  2. Step 2: Convert to fraction form
    111.10/153.54 = 107.56/x
  3. Step 3: Cross multiply
    111.10x = 153.54 × 107.56
  4. Step 4: Simplify right side
    111.10x = 16,514.76
  5. Step 5: Solve for x
    x = 16,514.76/111.10
  6. Step 6: Final answer
    x = 148.65

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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.