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Finding the Fourth Proportional to 123.53, 185.35 and 62.68

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Solution

The fourth proportional to 123.53, 185.35 and 62.68 is: 94.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.53 : 185.35 = 62.68 : x
  2. Step 2: Convert to fraction form
    123.53/185.35 = 62.68/x
  3. Step 3: Cross multiply
    123.53x = 185.35 × 62.68
  4. Step 4: Simplify right side
    123.53x = 11,617.74
  5. Step 5: Solve for x
    x = 11,617.74/123.53
  6. Step 6: Final answer
    x = 94.05

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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.