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Finding the Fourth Proportional to 123.24, 184.90 and 37.76

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Solution

The fourth proportional to 123.24, 184.90 and 37.76 is: 56.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.24 : 184.90 = 37.76 : x
  2. Step 2: Convert to fraction form
    123.24/184.90 = 37.76/x
  3. Step 3: Cross multiply
    123.24x = 184.90 × 37.76
  4. Step 4: Simplify right side
    123.24x = 6,981.82
  5. Step 5: Solve for x
    x = 6,981.82/123.24
  6. Step 6: Final answer
    x = 56.65

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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.