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Finding the Fourth Proportional to 111.24, 153.36 and 106.08

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Solution

The fourth proportional to 111.24, 153.36 and 106.08 is: 146.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.24 : 153.36 = 106.08 : x
  2. Step 2: Convert to fraction form
    111.24/153.36 = 106.08/x
  3. Step 3: Cross multiply
    111.24x = 153.36 × 106.08
  4. Step 4: Simplify right side
    111.24x = 16,268.43
  5. Step 5: Solve for x
    x = 16,268.43/111.24
  6. Step 6: Final answer
    x = 146.25

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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.