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Finding the Fourth Proportional to 183.72, 253.62 and 106.08

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Solution

The fourth proportional to 183.72, 253.62 and 106.08 is: 146.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.72 : 253.62 = 106.08 : x
  2. Step 2: Convert to fraction form
    183.72/253.62 = 106.08/x
  3. Step 3: Cross multiply
    183.72x = 253.62 × 106.08
  4. Step 4: Simplify right side
    183.72x = 26,904.01
  5. Step 5: Solve for x
    x = 26,904.01/183.72
  6. Step 6: Final answer
    x = 146.44

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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.