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Finding the Fourth Proportional to 183.66, 275.64 and 97.05

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Solution

The fourth proportional to 183.66, 275.64 and 97.05 is: 145.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.66 : 275.64 = 97.05 : x
  2. Step 2: Convert to fraction form
    183.66/275.64 = 97.05/x
  3. Step 3: Cross multiply
    183.66x = 275.64 × 97.05
  4. Step 4: Simplify right side
    183.66x = 26,750.86
  5. Step 5: Solve for x
    x = 26,750.86/183.66
  6. Step 6: Final answer
    x = 145.65

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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.