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Finding the Fourth Proportional to 123.83, 185.73 and 32.53

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Solution

The fourth proportional to 123.83, 185.73 and 32.53 is: 48.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.83 : 185.73 = 32.53 : x
  2. Step 2: Convert to fraction form
    123.83/185.73 = 32.53/x
  3. Step 3: Cross multiply
    123.83x = 185.73 × 32.53
  4. Step 4: Simplify right side
    123.83x = 6,041.91
  5. Step 5: Solve for x
    x = 6,041.91/123.83
  6. Step 6: Final answer
    x = 48.79

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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.